Question

Find out :

a. The mean proportional of 28 and 7

b. The ratio of 36 and 21

c. The fourth proportional of 4, 8, 16




SHOW THE PROCESS IF YOU CAN OR ELSE NOT...​

Answer 1

Answer:

a) x = (7×7×2×2) ^0.5 = 14

so 14 is the mean proportion of 7 and 28.

b) 36/21 is simplified to lowest terms as 12/7

so ratio of 36 and 21 is 12/7 or 12:7

c) sorry I don't know

Answer 2

a. The mean proportion of 28 and 7 is defined as

28:x::x:7, or

$x^{2}$ = 7*28, or

x = $(7x7x2x2)^{0.5}$ = 14.

So 14 is the mean proportion of 7 and 28.

b. Here we will simplify the ratio 36:21 for you and show you how we did it.

To simplify the ratio 36:21, we find the greatest common divisor of 36 and 21, and then we divide 36 and 21 by the greatest common divisor.

The greatest common divisor that you can use to simplify 36:21 is 3. This means the answer to ratio 36:21 simplified is:

12:7

c. Let 4 : 8 :: 16 :x

⇒ $\frac{4}{8}$  = $\frac{16}{x}$

​⇒  $\frac{1}{2}$ = $\frac{16}{x}$

​⇒ x= 32