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Question

If a,b,c and d are in proportion, then
  1. ab=cd
  2. ad=bc
  3. ac=bd
  4. none of these

A
ac=bd
B
ab=cd
C
none of these
D
ad=bc
Solution
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Proportionisequalityoftworatios.

Theratioof2to3issameastheratioof4to6,i.e.

2:3=4:6

Therefore,thetworatios2:3and4:6areproportionateandwrittenas:

2:3::4:6andreadas

Theratioof2to3issameasthatof4to6.

If2:3=4:6,then

2×6=3×4,i.e.12=12,

Lettworatiosa:bandc:dbeproportionate,

i.e.a:b::c:d

Intheproportiona:b::c:d

Productofmeans=productofextremes.

Ifa:b=c:d,then

a×d=b×c

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