Chapter 6.5, Problem 31PPS

To determine

To solve: the given proportion.

Answer to Problem 31PPS

The value of $a$ is $0.8$ .

Explanation of Solution

Given information:

The given proportion

  $\frac{a}{0.28}=\frac{4}{1.4}$

Calculation:

A proportion is an equation stating that the two ratios or rates are equal.

Simplify $\frac{a}{0.28}=\frac{4}{1.4}$ as follows:

  $\begin{array}{c}a\left(1.4\right)=4\left(0.28\right)\left[\text{The}\text{cross}\text{products}\text{of}\text{any}\text{proportion}\text{are}\text{equal}\right]\\ \text{1}\text{.4a=1}\text{.12}\left[\text{Multiply}\right]\\ \frac{1.4a}{1.4}=\frac{1.12}{1.4}\left[\text{Divide}\text{each}\text{side}\text{by}\text{1}\text{.4}\right]\\ a=0.8\end{array}$

Hence, the value of $a$ is $0.8$ .