Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is a*d = b*c.

Front

What is the first step in solving the proportion 3/4 = x/8?

Back

The first step is to cross-multiply: 3 * 8 = 4 * x.

Front

Solve the proportion: 2/5 = x/15.

Back

x = 6.

Front

What is the value of x in the proportion 4/x = 12/3?

Back

x = 1.

Front

If 5/x = 10/2, what is x?

Back

x = 1.

Front

What is the solution to the proportion 6/9 = x/12?

Back

x = 8.

Front

How do you check if two ratios are proportional?

Back

You can check by cross-multiplying and seeing if the products are equal.