This document discusses fundamental properties of proportions. It states that for proportions of the form a/b = c/d, then a*d = b*c. It also explains that you can multiply or divide both sides of a proportion by the same number without changing the proportional relationship. Additionally, you can raise both sides of a proportion to the same power. Examples are provided to illustrate these properties.

1. Razones y
Proporciones
Propiedad
Fundamental
Operaciones con
Proporciones
El productode lostérminos
extremosesigual al de los medios:
𝑎
𝑏
=
𝑐
𝑑
,𝑒𝑛𝑡𝑜𝑛𝑐𝑒𝑠:𝑎.𝑑 = 𝑐.𝑏
Multiplicar o dividir los antecedentes por un mismo número N:
𝑎
𝑏
=
𝑐
𝑑
, entonces:
𝑎.𝑛
𝑏
=
𝑐.𝑛
𝑑
o
𝑎
𝑏.𝑛
=
𝑐
𝑑.𝑛
o
𝑎.𝑛
𝑏.𝑛
=
𝑐
𝑑
Ejemplo:
3
9
=
2
6
, entonces:3.6=2.9 = 18.
Ejemplo:
6
9
=
12
18
, 𝑒𝑛𝑡𝑜𝑛𝑐𝑒𝑠:
6.3
9
=
12.3
18
= 6.6 = 3.12 = 36
6
3
=
12
6
, 𝑒𝑛𝑡𝑜𝑛𝑐𝑒𝑠:
6
3.3
=
12
6.3
= 6.2 = 3.4 = 12
Elevar los términos a una misma potencia:
𝑎
𝑏
=
𝑐
𝑑
, 𝑒𝑛𝑡𝑜𝑛𝑐𝑒𝑠 =
𝑎𝑛
𝑏𝑛
=
𝑐𝑛
𝑑𝑛
Ejemplo:
2
3
=
4
6
, =
22
32
=
42
62
,=
4
9
=
16
36
, =
4
9
=
4
9
= 36