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