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Finding the Fourth Proportional to 31,892.86, 47,808.06 and 11,887.71

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Solution

The fourth proportional to 31,892.86, 47,808.06 and 11,887.71 is: 17,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.86 : 47,808.06 = 11,887.71 : x
  2. Step 2: Convert to fraction form
    31,892.86/47,808.06 = 11,887.71/x
  3. Step 3: Cross multiply
    31,892.86x = 47,808.06 × 11,887.71
  4. Step 4: Simplify right side
    31,892.86x = 568,328,352.94
  5. Step 5: Solve for x
    x = 568,328,352.94/31,892.86
  6. Step 6: Final answer
    x = 17,819.92

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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.