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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 10: Q8. (page 536)

Solve the proportion.
$\frac{3}{7} = \frac{31}{z}$

Short Answer

Expert verified

The value of a is $\frac{217}{3}$ .

Step by step solution

01

Step 1. Given Information.

The given proportion is $\frac{3}{7} = \frac{31}{z}$ .

02

Step 2. Calculation.

Solve the given proportion by multiply $(\frac{7}{3} z)$ on both sides.

$\begin{matrix} z (\frac{3}{7}) (\frac{7}{3}) = (\frac{31}{z}) (\frac{7}{3}) z \\ z = 31 \cdot \frac{7}{3} \\ = \frac{217}{3} \end{matrix}$

Hence, the value of a after solving the proportion is $\frac{217}{3}$ .

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