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Finding the Fourth Proportional to 31,687.92, 47,542.72 and 11,972.16

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Solution

The fourth proportional to 31,687.92, 47,542.72 and 11,972.16 is: 17,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.92 : 47,542.72 = 11,972.16 : x
  2. Step 2: Convert to fraction form
    31,687.92/47,542.72 = 11,972.16/x
  3. Step 3: Cross multiply
    31,687.92x = 47,542.72 × 11,972.16
  4. Step 4: Simplify right side
    31,687.92x = 569,189,050.68
  5. Step 5: Solve for x
    x = 569,189,050.68/31,687.92
  6. Step 6: Final answer
    x = 17,962.34

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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.