Proportions Explained: Practice Problems and Examples

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Recent questions in Ratios, rates, proportions

midtlinjeg 2021-08-16

Use mathematical induction to prove that $n^{3} - n$
is divisible by 3 whenever n is a positive integer.

alesterp 2021-08-16

To find:
Unit price for given rates of napkins and decide which the better buy is.
The first rate of packet of napkins is 100 for $0.59. In this case, the number of units is 100.

nicekikah 2021-08-16

To explain:
The reason why the ratio $\frac{5}{1}$ is correct for the exercise 20.

Wotzdorfg 2021-08-16

To find the value of z.
Given: $\frac{3}{z} = \frac{- 1.5}{27}$

ruigE 2021-08-16

To solve: The proportion $\frac{- 3.5}{12.5} = \frac{- 7}{n}$ for the given variable n.

Jaden Easton 2021-08-16

To calculate: The number of cups of water required for $\frac{3}{4}$ cup of oats if cooking oatmeal requires 1 cup of water for every $\frac{1}{2}$ cup of oats.

Jaden Easton 2021-08-16

To simplify the given equation for m.
An equation is given as $y = m x + b$ .

Maiclubk 2021-08-16

To use the concept of proportion to make the given conversion.
Given information: To convert 21.6 square feet to square yards. 9 square feet $= 1$ square yard.

Rivka Thorpe 2021-08-16

How much did they make on Tuesday by selling 53 humburgers.
Given: They make $545 from selling 110 hamburgers on Monday.

Clifland 2021-08-16

The mean time for the trials.
The given data is:

$\begin{array}{llrclcrcrrrc} T r i a l & T i m e (s e c o n d s) \\ 1 & 5.09 \\ 2 & 5.10 \\ 3 & 4.95 \\ 4 & 4.91 \\ 5 & 5.05 \end{array}$

e1s2kat26 2021-08-16

The solution of the given proportion.
The given proportion is:
$\frac{w}{2} = \frac{4.5}{6.8}$

Wotzdorfg 2021-08-15

The total number of students in the survey.
Given: 36% of the total students is 900.

Yasmin 2021-08-15

To calculate: The solution of the provided proportion $\frac{m + 2}{8} = \frac{m}{3}$

waigaK 2021-08-15

The age of a person whose maximum pulse rate is given.
Given expression for maximum pulse rate is: $= 0.8 (220 - a)$ . Maximum pulse rate $= 152$

CoormaBak9 2021-08-15

The given proportion: $\frac{x - 18}{24} = \frac{15}{8}$

Ava-May Nelson 2021-08-15

To solve: The proportion $\frac{y}{10} = \frac{13}{4}$

CMIIh 2021-08-15

To explain: Whether all the proportions yield the same result.
a. $\frac{x}{2} = \frac{4}{9}$ .
b. $\frac{2}{x} = \frac{9}{4}$ .
c. $\frac{x}{4} = \frac{2}{9}$
d. $\frac{9}{2} = \frac{4}{x}$
e. $\frac{4}{9} = \frac{x}{2}$

Khaleesi Herbert 2021-08-15

How many ounces of oil should be mixed with 6 gallons of gas if the ratio is to be 40 parts of gas to 1 part of oil?

Tobias Ali 2021-08-15

To evaluate: the proportions $\frac{60}{15} = \frac{12}{y}$ by cross products property.

Line 2021-08-15

To write:
The two other true proportions for $\frac{21}{27} = \frac{7}{9}$ .

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

Mastering Proportions: Problems and Examples