Proportions Explained: Practice Problems and Examples

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Recent questions in Ratios, rates, proportions

keche0b 2021-12-21

The solution of the proportion $\frac{8}{13} = \frac{v}{21}$

stop2dance3l 2021-12-19

The solution of the given proportion.
Given:
$\frac{15}{35} = \frac{g}{7}$

aramutselv 2021-12-19

The solution of the given proportion.
Given:
$\frac{2}{0.21} = \frac{8}{n}$

hunterofdeath63 2021-12-18

The number of dimes inside the bag.
Given: A bag contains quarters and dimes in a ratio of 3:5 and there is $6 in quarters in the bag.

tripiverded9 2021-12-18

The number of gallons of paint needed.
Given:
Half gallon covers 84 square feet.

hvacwk 2021-12-18

The solution of the given proportion.
Given:
$\frac{t}{2} = \frac{6}{12}$

William Cleghorn 2021-12-18

You are designing a $1000 c m^{3}$ right circular cylindrical can whose manufacture will take waste into account. There is no waste in cutting the aluminum for the side, but the top and bottom of radius r will be cut from squares that measure 2r units on a side. The total amount of aluminum used up by the can will therefore be
$A = 8 r^{2} + 2 π r h$
What is the ratio now of h to r for the most economical can?

Jean Blumer 2021-12-17

The value of $\frac{b}{a}$ .
Given:
The proportions, $\frac{a + 1}{b - 1} = \frac{5}{1} and \frac{a - 1}{b + 1} = \frac{1}{1}$ .

Teddy Dillard 2021-12-17

a) The proportion to model this situation.
Given: ratio of girls to boys in a class is 4:3 and there are 3 more girls than boys in the class.
b) The number of boys in the class.
Given: The ratio of girls to boys in a class is 4:3 and there are 3 more girls than boys in the class.

Harold Kessler 2021-12-17

The number of student having braces.
Given: 2 out of every 5 have braces.

Monique Slaughter 2021-12-17

The solution of the given proportion.
Given:
$\frac{1}{0.19} = \frac{12}{n}$

Judith McQueen 2021-12-17

Given: Khannouchi ran 26.2 mile in 2 hours 5 minute and 38 second in a marathon.
a) To find the rate of speed of khannouchi in miles per hour.
b) To find the rate of speed of khannouchi in miles per minute.
c) To find the rate of speed of khannouchi in feet per minute.

David Young 2021-12-17

What is the half of $1 \frac{1}{2}$ cups?

Mary Buchanan 2021-12-17

Write $\frac{2}{5}$ as a percent.

Carla Murphy 2021-12-17

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:
8 to 6

Agohofidov6 2021-12-17

a. A proportion for the given relationship using x as the unknown length.
Given: The ratio of the north-south length to the east-west length of Colorado is $\frac{14}{19}$ . And the length of east-west length is about 380 miles.
b. The actual north-south length.

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