Home / 31,857.76-47,781.24-9,665.78

Finding the Fourth Proportional to 31,857.76, 47,781.24 and 9,665.78

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Solution

The fourth proportional to 31,857.76, 47,781.24 and 9,665.78 is: 14,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.76 : 47,781.24 = 9,665.78 : x
  2. Step 2: Convert to fraction form
    31,857.76/47,781.24 = 9,665.78/x
  3. Step 3: Cross multiply
    31,857.76x = 47,781.24 × 9,665.78
  4. Step 4: Simplify right side
    31,857.76x = 461,843,001.95
  5. Step 5: Solve for x
    x = 461,843,001.95/31,857.76
  6. Step 6: Final answer
    x = 14,497.04

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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.