To solve: The proportion y10=134.

Question

To solve:  The proportion y10=134.

godsrvnt0706 · Accepted Answer

Approach:
The quotient of two numbers is called a ratio.
Ex.

\frac{2}{3}

.
The ratio is no different from a fraction, except that a ratio is sometimes written using notation other than fractional notation.
Ex. The ratio of 5 to 7 can be written as fractional notation

\frac{5}{7}

or colon notation

5 : 7

.
If a ratio contains decimal numbers or mixed numbers, then the ratio can be written only by the ratio of whole numbers.
Ex.

5.7 : 3

can be written as

\frac{57}{30}

.
A proportion is a statement that two ratios or rates are equal.
Ex. If

\frac{a}{b} and \frac{c}{d}

are two ratios, then

\frac{a}{b} = \frac{c}{d}

is a proportion.
If the cross product are equal, the proportion is true.
Ex. If

a \cdot d = b \cdot c

, then it is true.
If the cross products are not equal, the proportion is false.
Ex. If

a \cdot d \neq b \cdot c

, then it is false.
When one number of proportion is unknown, then use cross product to find the unknown number.
Ex. Find the unknown number x in the proportion

\frac{4}{2} = \frac{20}{x}

. It can be found by cross product. That is,

x = 10

.
Calculation:
Determine the value of y in the proportion

\frac{y}{10} = \frac{13}{4}

by using the cross product.

\frac{y}{10} = \frac{13}{4}

y \cdot 4 = 13 \cdot 10

y = \frac{130}{4}

y = 32.5

Therefore, the value is

y = 32.5

.
The final Statement:
The value of y in the proportion

\frac{y}{10} = \frac{13}{4} i s y = 32.5

Jordan Mitchell · Accepted Answer

Step 1  y10=134  Multiply both sides by 10  y=134×10  Express 134×10 as a single fraction  y=12×104  Multiply 13 and 10 to get 130  y=1304  Reduce the fraction 1304 to lowest terms by extracting and canceling out 2.  y=652

karton · Accepted Answer

Step 1Cross Multiplicationthe equationy10=134Cross product:y×4=10×13Solving:y=10×134reducing:y=32.5Step 2The proportion10÷4=2.5Then:y÷13=2.5Solvingy=13×2.5y=32.5

To solve: The proportion \frac{y}{10}=\frac{13}{4}.

Answered question

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