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Finding the Fourth Proportional to 31,868.18, 43,978.14 and 17,720.90

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Solution

The fourth proportional to 31,868.18, 43,978.14 and 17,720.90 is: 24,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868.18 : 43,978.14 = 17,720.90 : x
  2. Step 2: Convert to fraction form
    31,868.18/43,978.14 = 17,720.90/x
  3. Step 3: Cross multiply
    31,868.18x = 43,978.14 × 17,720.90
  4. Step 4: Simplify right side
    31,868.18x = 779,332,221.13
  5. Step 5: Solve for x
    x = 779,332,221.13/31,868.18
  6. Step 6: Final answer
    x = 24,454.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.