Chapter 6.2, Problem 2E

To determine

To explain the use of equivalent ratios for solving the proportion

  $\frac{3}{2}=\frac{x}{12}$ .

Answer to Problem 2E

The given proportion is solved as $x=18$ .

Explanation of Solution

Given information:the proportion is given as $\frac{3}{2}=\frac{x}{12}$ .

If one of the numbers in a proportion is unknown, the proportion can be solved by using an equivalent ratio to find the unknown number.

The given proportion can be solved by using equivalent ratios as,

  $\begin{array}{l}\frac{3}{2}=\frac{x}{12}\\ \frac{3}{2\times 6}=\frac{x}{12}\\ \frac{3\times 6}{12}=\frac{x}{12}\\ 3\times 6=x\\ x=18\end{array}$

Therefore,

The given proportion is solved as $x=18$ .