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Finding the Fourth Proportional to 47,807.46, 71,711.19 and 12,747.24

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Solution

The fourth proportional to 47,807.46, 71,711.19 and 12,747.24 is: 19,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.46 : 71,711.19 = 12,747.24 : x
  2. Step 2: Convert to fraction form
    47,807.46/71,711.19 = 12,747.24/x
  3. Step 3: Cross multiply
    47,807.46x = 71,711.19 × 12,747.24
  4. Step 4: Simplify right side
    47,807.46x = 914,119,749.62
  5. Step 5: Solve for x
    x = 914,119,749.62/47,807.46
  6. Step 6: Final answer
    x = 19,120.86

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.