Chapter 8.1, Problem 15PSA

To determine

To find: The number of the proportion when the mean is 4.

Answer to Problem 15PSA

The number in pair of numbers is $2\frac{2}{3}$

Explanation of Solution

Given information The numbers are 6 and a

Mean of the proportion = 4

Formula used Mean proportion = square root of numbers

Calculation Geometric mean of two given numbers, i.e., 6 and a is

  $\sqrt{6\text{ a}}$ and given, geometric mean is 4

  $\begin{array}{l}\therefore 4=\sqrt{6a}\\ \Rightarrow 6a=16\\ \Rightarrow a=\frac{16}{6}=\frac{8}{3}=2\frac{2}{3}\end{array}$