Proportions Explained: Practice Problems and Examples

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Recent questions in Ratios, rates, proportions

petrusrexcs 2021-12-13

The sum of two numbers.
Given:
Two consecutive numbers are: $\frac{6 x}{6 (x + 1)} = \frac{8}{9}$ .
Two consecutive multiples of 6 are a ratio of 8:9. $\frac{6 x}{6 (x + 1)} = \frac{8}{9}$ .

bmgf3m 2021-12-13

Simplify $- (- 4 x + 5 x^{2}) + {- 7 [- 2 (- 9 x^{2} + 14 x - 6) - (8 x^{2} - 20)] - 10 x}$

Monique Slaughter 2021-12-13

How do you simplify $e^{- \ln x}$

Dowqueuestbew1j 2021-12-13

Whether the given ratios are equivalent ratios or not.
Given: $\frac{15}{36} and \frac{35}{42}$

Terrie Lang 2021-12-13

To calculate: The equivalent rate of the given ratio.
Given: $\frac{5 c m}{1 min}$
Convert cm per min to cm per hour.

Jason Yuhas 2021-12-13

Whether the given ratios are equivalent ratios or not.
Given:
$\frac{9}{11} and \frac{81}{99}$

prsategazd 2021-12-13

a) The ratio of number of indoor theaters to the total theaters.
b) Whether any of the two ratios of part a forms proportion or not.
$\begin{array}{cc} Y e a r & I n d o o r & D r i v e - I n & T o t a l \\ 2000 & 35, 567 & 683 & 36, 250 \\ 2001 & 34, 490 & 683 & 35, 173 \\ 2002 & 35, 170 & 666 & 35, 836 \\ 2003 & 35, 361 & 634 & 35, 995 \\ 2004 & 36, 012 & 640 & 36, 652 \\ 2005 & 37, 092 & 648 & 37, 740 \\ 2006 & 37, 776 & 649 & 38, 425 \end{array}$

Patricia Crane 2021-12-13

The solution of the given proportion.
Given:
$\frac{x - 3}{5} = \frac{6}{10}$

berljivx8 2021-12-13

To solve: the given proportion.
Given information:
The given proportion:
$\frac{x - 18}{24} = \frac{15}{8}$

b2sonicxh 2021-12-13

To solve:
The proportion $\frac{x}{2} = \frac{3}{x + 1}$

Joseph Krupa 2021-12-13

Rewrite the given proportions according to the property indicated in the table and find out if the ratios in the rewritten proportions are still equal.
$\begin{array}{cc} Use the cross multiplication pro perty to verify that ratios are equal. Simplify if necessary. One is done for you \\ Original Proportion & \frac{y}{3} = \frac{a}{4} & 4 y = 3 a \\ Alternation Property of the original propertion \\ Inverse Property of the original proportion \\ Addition Property of the original proportion \\ Subtraction Property of the original proportion \\ Sum Propert of the original proportion \end{array}$

idiopatia0f 2021-12-12

The number of inches in 200 miles.
Given: A scale of 150 miles $= 3$ inches.

Anne Wacker 2021-12-12

Whether the given ratios are equivalent ratios or not.
Given:
The given ratios are:
$\frac{8.4}{9.2} and \frac{8.8}{9.6}$

stop2dance3l 2021-12-12

To calculate: the ratio of the area of the shaded region to the area of the unshaded region.
Given information:
Length of each side of square is given as s.
The shaded region is a triangle having base and height equal to s.

Lorraine Harvey 2021-12-12

Determine whether each pair of ratios forms a proportion.
1) $\frac{12}{32}, \frac{3}{16}$
2) $\frac{15}{20}, \frac{9}{12}$
3) $\frac{1.5}{2}, \frac{6}{8}$

Osvaldo Apodaca 2021-12-12

The given ratio is in the simplest form or not.
The given ratio in the simplest form.
The simplest form of the given ratio in two other ways.
Given information:
The ratio given in the question:
9 to 12

Joseph Krupa 2021-12-12

To determine whether the ratio is in simplest form and write the ratio in two other ways.
Given information:
The ratio is $64 : 3$

Jessie Lee 2021-12-12

Since you are looking for a proportions solver for your algebra class or some engineering task, the trick is to explore various proportion examples with answers first as these will help you to answer the most complex challenges and see how things work. As we are dealing with secondary Maths, the majority of presented proportions problems that are shown below are not overly complex. The most important aspect is using the corresponding proportions equation and seeing how to work with ratio rates in practice. Take a look at proportions Math problems, focusing on how they are represented in original instructions.

Pre-Algebra