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Finding the Fourth Proportional to 15,822.80, 23,734.20 and 9,917.90

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Solution

The fourth proportional to 15,822.80, 23,734.20 and 9,917.90 is: 14,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.80 : 23,734.20 = 9,917.90 : x
  2. Step 2: Convert to fraction form
    15,822.80/23,734.20 = 9,917.90/x
  3. Step 3: Cross multiply
    15,822.80x = 23,734.20 × 9,917.90
  4. Step 4: Simplify right side
    15,822.80x = 235,393,422.18
  5. Step 5: Solve for x
    x = 235,393,422.18/15,822.80
  6. Step 6: Final answer
    x = 14,876.85

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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.