Math, asked by pankajjhajhria5031, 1 year ago

Four interfere p,q,r,s are in continued proportion . If p:r::9:4, find p/s.

Answers

Answered by amitnrw
6

Given :  p, q, r, s are in continued proportion and  p:r::9:4

To Find : p:s

Solution:

p, q, r, s are in continued proportion

=> p/q  = q/r  = r/s   =  k

=> r = ks

   q =  kr  = k (ks) = k²s

   p = kq  = k (  k²s) = k³s

=> p/s  = k³

p/r  =   k³s/ ks

=> p/r  = k²

p:r::9:4

=> k² = 9/4

=> k = 3/2

p/s  = (3/2)³

=> p/s  = 27/8

=> p : s = 27 : 8

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