a:b=3:4 b:c=5:6 and c:d=8:9 find a:b:c:d
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Step-by-step explanation:
a:b = 3:4, or 3b = 4a or b = (4/3)a …(1)
b:c = 5:6 or 6b = 5c or b = (5/6)c …(2)
c:d = 8:10 or 10c = 8d or c =(4/5)d …(3)
From (1) and (2)
(4/3)a = (5/6)c or c = (4/3)*(6/5)a = (24/15)a = (8/5)a …(4)
Equate (3) and (4) to get
(4/5)d = (8/5)a or
a:d = (4/5):(8/5) = 1:2.
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