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Finding the Fourth Proportional to 47,630, 71,439.50 and 12,572.40

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Solution

The fourth proportional to 47,630, 71,439.50 and 12,572.40 is: 18,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,630 : 71,439.50 = 12,572.40 : x
  2. Step 2: Convert to fraction form
    47,630/71,439.50 = 12,572.40/x
  3. Step 3: Cross multiply
    47,630x = 71,439.50 × 12,572.40
  4. Step 4: Simplify right side
    47,630x = 898,165,969.80
  5. Step 5: Solve for x
    x = 898,165,969.80/47,630
  6. Step 6: Final answer
    x = 18,857.15

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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.