Chapter 6.8, Problem 27E

To determine

To solve the proportion.

Answer to Problem 27E

The solution of the proportionis $b=13.5$ .

Explanation of Solution

Given information:

The proportion is $\frac{8}{9}=\frac{12}{b}$ .

Calculation:

The proportion is solved as:

  $\begin{array}{l}\frac{8}{9}=\frac{12}{b}\\ 8\times b=9\times 12\left[\text{Cross products property}\right]\\ 8b=108\left[\text{Multiply}\right]\\ =\frac{8b}{8}=\frac{108}{8}\left[\text{Divide each side by 8}\text{.}\right]\\ b=13.5\left[\text{Simplify}\text{.}\right]\end{array}$

Hence,

The solution of the proportion is $b=13.5$ .