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Finding the Fourth Proportional to 13,472.20, 20,206.38 and 4,237

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Solution

The fourth proportional to 13,472.20, 20,206.38 and 4,237 is: 6,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.20 : 20,206.38 = 4,237 : x
  2. Step 2: Convert to fraction form
    13,472.20/20,206.38 = 4,237/x
  3. Step 3: Cross multiply
    13,472.20x = 20,206.38 × 4,237
  4. Step 4: Simplify right side
    13,472.20x = 85,614,432.06
  5. Step 5: Solve for x
    x = 85,614,432.06/13,472.20
  6. Step 6: Final answer
    x = 6,354.90

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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.