Get the information you need with the help of IDNLearn.com's expert community. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

Given the proportion [tex] \frac{a}{b} = \frac{c}{d} [/tex], solve for [tex] c [/tex].

[tex] c = \frac{a \cdot d}{b} [/tex]


Sagot :

To solve for [tex]\(c\)[/tex] given the proportion [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], follow these steps:

1. Start with the given proportion:
[tex]\[ \frac{a}{b} = \frac{c}{d} \][/tex]

2. Cross-multiply to eliminate the fractions. This involves multiplying the numerator of each fraction by the denominator of the other fraction:
[tex]\[ a \cdot d = b \cdot c \][/tex]

3. Solve for [tex]\(c\)[/tex] by isolating [tex]\(c\)[/tex] on one side of the equation. You can do this by dividing both sides of the equation by [tex]\(b\)[/tex]:
[tex]\[ c = \frac{a \cdot d}{b} \][/tex]

Let's demonstrate this using example values for [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(d\)[/tex]:

- Assume [tex]\(a = 6\)[/tex]
- Assume [tex]\(b = 4\)[/tex]
- Assume [tex]\(d = 3\)[/tex]

4. Substitute these values into the equation:
[tex]\[ c = \frac{6 \cdot 3}{4} \][/tex]

5. Perform the multiplication in the numerator:
[tex]\[ c = \frac{18}{4} \][/tex]

6. Divide the numerator by the denominator:
[tex]\[ c = 4.5 \][/tex]

Thus, the value of [tex]\(c\)[/tex] is [tex]\(4.5\)[/tex].