The ratio of `2.7/1.2` is equivalent to the ratio of `b/4.8`. What is the value of b?

Options

A. 2.13
B. 4
C. 6.3
D. 10.8

Answer

To solve the problem, we need to find the value of \( b \) such that the ratio \( \frac{2.7}{1.2} \) is equivalent to the ratio \( \frac{b}{4.8} \).

### Step-by-Step Solution:

1. **Set Up the Equation**:
We start by writing the equation based on the given ratios:
\[ \frac{2.7}{1.2} = \frac{b}{4.8} \]

2. **Cross Multiply**:
To eliminate the fractions, we cross multiply:
\[ 2.7 \times 4.8 = 1.2 \times b \]

3. **Calculate \( 2.7 \times 4.8 \)**:
Now we need to calculate \( 2.7 \times 4.8 \):
\[ 2.7 \times 4.8 = 12.96 \]

4. **Substitute Back into the Equation**:
Substitute \( 12.96 \) back into the equation:
\[ 12.96 = 1.2 \times b \]

5. **Solve for \( b \)**:
To find \( b \), divide both sides by \( 1.2 \):
\[ b = \frac{12.96}{1.2} \]

6. **Calculate \( \frac{12.96}{1.2} \)**:
Performing the division:
\[ b = 10.8 \]

### Final Answer:
Thus, the value of \( b \) is \( 10.8 \).

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