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Finding the Fourth Proportional to 31,917, 47,875.50 and 8,542.86

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Solution

The fourth proportional to 31,917, 47,875.50 and 8,542.86 is: 12,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917 : 47,875.50 = 8,542.86 : x
  2. Step 2: Convert to fraction form
    31,917/47,875.50 = 8,542.86/x
  3. Step 3: Cross multiply
    31,917x = 47,875.50 × 8,542.86
  4. Step 4: Simplify right side
    31,917x = 408,993,693.93
  5. Step 5: Solve for x
    x = 408,993,693.93/31,917
  6. Step 6: Final answer
    x = 12,814.29

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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.