Question
Determine if the $4, 6, 8, 12$ are in proportion.
✓
Answer
$4 : 6$ $=\frac{4}{6}=\frac{4 \div 2}{6 \div 2}$[$\therefore$$H.C.F.(4, 6) = 2]$
$=\frac{2}{3}$ $= 2 : 3$
$8 : 12$ $=\frac{8}{12}=\frac{8 \div 4}{12 \div 4}$[$\therefore$$H.C.F. (8, 12) = 4]$
$=\frac{2}{3}$ $= 2 : 3$
$\because$ $4 : 6 = 8 : 12$
$\therefore$ $4, 6, 8, 12$ are in proportion.
$=\frac{2}{3}$ $= 2 : 3$
$8 : 12$ $=\frac{8}{12}=\frac{8 \div 4}{12 \div 4}$[$\therefore$$H.C.F. (8, 12) = 4]$
$=\frac{2}{3}$ $= 2 : 3$
$\because$ $4 : 6 = 8 : 12$
$\therefore$ $4, 6, 8, 12$ are in proportion.
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