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Finding the Fourth Proportional to 31,918, 47,877 and 8,543.86

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Solution

The fourth proportional to 31,918, 47,877 and 8,543.86 is: 12,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,918 : 47,877 = 8,543.86 : x
  2. Step 2: Convert to fraction form
    31,918/47,877 = 8,543.86/x
  3. Step 3: Cross multiply
    31,918x = 47,877 × 8,543.86
  4. Step 4: Simplify right side
    31,918x = 409,054,385.22
  5. Step 5: Solve for x
    x = 409,054,385.22/31,918
  6. Step 6: Final answer
    x = 12,815.79

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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.