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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: Q12. (page 246)

If $\frac{4}{y} = \frac{7}{9},$ then $? = ?$ and $y = ?$

Short Answer

Expert verified

The final answer is $7 y = 36$ , and $y = \frac{36}{7}$ .

Step by step solution

01

Step 1. Given information.

The given proportion is,

$\frac{4}{y} = \frac{7}{9}$

02

Step 2. Apply mean extremes property.

Product of means is equal to product of extremes.

It is given that $\frac{4}{y} = \frac{7}{9}$ ,

So,

$7 y = 36$

03

Step 3. Now, divide through-out by 7.

$y = \frac{36}{7}$

Therefore, the final answer is, $7 y = 36$ and $y = \frac{36}{7}$ .

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