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Finding the Fourth Proportional to 31,842.86, 47,764.35 and 8,469.29

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Solution

The fourth proportional to 31,842.86, 47,764.35 and 8,469.29 is: 12,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.86 : 47,764.35 = 8,469.29 : x
  2. Step 2: Convert to fraction form
    31,842.86/47,764.35 = 8,469.29/x
  3. Step 3: Cross multiply
    31,842.86x = 47,764.35 × 8,469.29
  4. Step 4: Simplify right side
    31,842.86x = 404,530,251.22
  5. Step 5: Solve for x
    x = 404,530,251.22/31,842.86
  6. Step 6: Final answer
    x = 12,703.96

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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.