Question

find the fourth proportional ?8,32,17 find the fourth proportional?​

Answer 1

8:32 is basically 1:4

so 17:68

hope it helps:-)

Answer 2

Question :-

Find the fourth proportional

? : 8 :: 32 : 17

★ Solution:-

Let us assume the fourth proportional x

According to the question :

$\large{ \sf{8 : 32 : : 17 :x }}$

We know ,

$\boxed{ \large{ \sf{Extreme \: Term = Middle \: Term}}}$

$\large { \bf{8 \times x = 32 \times 17}}$

$\large{ \bf{8x = 544}}$

$\large{ \bf{x = \frac{544}{8} }}$

$\large{ \bf{x = 68}}$

The fourth proportion is 68.

★ Verification :-

8 : 32 :: 17 : 68

We know ,

$\boxed{ \large{ \sf{Extreme \: Term = Middle \: Term}}}$

$\bf { \large{8 \times 68 = 32 \times 17}}$

$\large{ \bf{544 = 544}}$

Hence, the answer is correct.