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Finding the Fourth Proportional to 13,640.40, 20,472.12 and 9,251.28

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Solution

The fourth proportional to 13,640.40, 20,472.12 and 9,251.28 is: 13,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.40 : 20,472.12 = 9,251.28 : x
  2. Step 2: Convert to fraction form
    13,640.40/20,472.12 = 9,251.28/x
  3. Step 3: Cross multiply
    13,640.40x = 20,472.12 × 9,251.28
  4. Step 4: Simplify right side
    13,640.40x = 189,393,314.31
  5. Step 5: Solve for x
    x = 189,393,314.31/13,640.40
  6. Step 6: Final answer
    x = 13,884.73

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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.