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Finding the Fourth Proportional to 21,843.78, 32,766.90 and 6,261

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Solution

The fourth proportional to 21,843.78, 32,766.90 and 6,261 is: 9,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.78 : 32,766.90 = 6,261 : x
  2. Step 2: Convert to fraction form
    21,843.78/32,766.90 = 6,261/x
  3. Step 3: Cross multiply
    21,843.78x = 32,766.90 × 6,261
  4. Step 4: Simplify right side
    21,843.78x = 205,153,560.90
  5. Step 5: Solve for x
    x = 205,153,560.90/21,843.78
  6. Step 6: Final answer
    x = 9,391.85

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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.