Finding the Fourth Proportional to 47.19, 65.12 and 30.84
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Solution
The fourth proportional to 47.19, 65.12 and 30.84 is: 42.56
Step by Step Solution
- Step 1: Write the proportion equation
47.19 : 65.12 = 30.84 : x - Step 2: Convert to fraction form
47.19/65.12 = 30.84/x - Step 3: Cross multiply
47.19x = 65.12 × 30.84 - Step 4: Simplify right side
47.19x = 2,008.46 - Step 5: Solve for x
x = 2,008.46/47.19 - Step 6: Final answer
x = 42.56
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.