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Finding the Fourth Proportional to 31,761.96, 47,642.04 and 8,388.48

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Solution

The fourth proportional to 31,761.96, 47,642.04 and 8,388.48 is: 12,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.96 : 47,642.04 = 8,388.48 : x
  2. Step 2: Convert to fraction form
    31,761.96/47,642.04 = 8,388.48/x
  3. Step 3: Cross multiply
    31,761.96x = 47,642.04 × 8,388.48
  4. Step 4: Simplify right side
    31,761.96x = 399,644,299.70
  5. Step 5: Solve for x
    x = 399,644,299.70/31,761.96
  6. Step 6: Final answer
    x = 12,582.48

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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.