Dividendo property
If a:b:: c:d then (a – b):b::(c – d):d
If 2:5:: 3:9 then choose the dividendo property:
a) -3:5 = -6:9
b) 3:5 = 6: 9
c) 5:-3 = 9:-6
d) 3:5 = 9:6
Solution:2:5:: 3:9 (2-5):5:: (3-9):9
-3:5::-6:9
p :q::w:x identify the dividendo property:
a) (p+q):q = (w+x):x
b) (p-w):q = (w-p):x
c) (p-q):q = (w-x):x
d) (w-p):q = (p-x):q = w:k
Componendo dividendo property:
If a:b::c:d then (a+b):(a – b)::(c+d):(c – d)
7:3 = 14:6 choose componendo dividendo property:
a) 10:4::14:8
b) 4:10::8:14
c) 4:10 = 20:8
d) 10:4 = 20:8
Solution:(7:3 = 14:6
(7+3) : (7-3) = (14+6) : (14-6)
10:4 = 20:8
