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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 7: Q3. (page 247)

complete each statement.
If $a : 3 = 7 : 4$ then $4 a = ?$

Short Answer

Expert verified

The final answer is, $4 a = 21$ .

Step by step solution

01

Step 1. Given information.

The given proportion is,

$a : 3 = 7 : 4$

02

Step 2. Solve it by cross-multiplication method.

It is given that $a : 3 = 7 : 4$ ,

So, $\frac{a}{3} = \frac{7}{4}$

03

Step 3. The product of means is equal to product of extremes.

So,

$4 a = 21$

Therefore, the final answer is, $4 a = 21$ .

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