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Finding the Fourth Proportional to 31,862.64, 47,816.88 and 11,874.88

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Solution

The fourth proportional to 31,862.64, 47,816.88 and 11,874.88 is: 17,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.64 : 47,816.88 = 11,874.88 : x
  2. Step 2: Convert to fraction form
    31,862.64/47,816.88 = 11,874.88/x
  3. Step 3: Cross multiply
    31,862.64x = 47,816.88 × 11,874.88
  4. Step 4: Simplify right side
    31,862.64x = 567,819,711.97
  5. Step 5: Solve for x
    x = 567,819,711.97/31,862.64
  6. Step 6: Final answer
    x = 17,820.86

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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.