Chapter 6.2, Problem 19E

To determine

To solve the proportion by using algebra.

Answer to Problem 19E

The solution of the given proportion is $a=18$ .

Explanation of Solution

Given information : the proportion is given as,

  $\frac{a}{32}=\frac{9}{16}$

Calculation : the given proportion can be calculated as,

  $\begin{array}{l}\frac{a}{32}=\frac{9}{16}\\ \frac{a}{32}\cdot 32=\frac{9}{16}\cdot 32\left[\text{multiply each side by 32}\right]\\ a=\frac{288}{16}\left[\text{simplify}\right]\\ a=18\left[\text{divide}\right]\end{array}$

Therefore,

The solution of the given proportion is $a=18$ .