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Finding the Fourth Proportional to 31,865.68, 47,796.64 and 15,237.20

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Solution

The fourth proportional to 31,865.68, 47,796.64 and 15,237.20 is: 22,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.68 : 47,796.64 = 15,237.20 : x
  2. Step 2: Convert to fraction form
    31,865.68/47,796.64 = 15,237.20/x
  3. Step 3: Cross multiply
    31,865.68x = 47,796.64 × 15,237.20
  4. Step 4: Simplify right side
    31,865.68x = 728,286,963.01
  5. Step 5: Solve for x
    x = 728,286,963.01/31,865.68
  6. Step 6: Final answer
    x = 22,854.90

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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.