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Finding the Fourth Proportional to 31,500.80, 47,272.80 and 13,983.20

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Solution

The fourth proportional to 31,500.80, 47,272.80 and 13,983.20 is: 20,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.80 : 47,272.80 = 13,983.20 : x
  2. Step 2: Convert to fraction form
    31,500.80/47,272.80 = 13,983.20/x
  3. Step 3: Cross multiply
    31,500.80x = 47,272.80 × 13,983.20
  4. Step 4: Simplify right side
    31,500.80x = 661,025,016.96
  5. Step 5: Solve for x
    x = 661,025,016.96/31,500.80
  6. Step 6: Final answer
    x = 20,984.39

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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.