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Finding the Fourth Proportional to 23,512.52, 32,447.80 and 12,902.10

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Solution

The fourth proportional to 23,512.52, 32,447.80 and 12,902.10 is: 17,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.52 : 32,447.80 = 12,902.10 : x
  2. Step 2: Convert to fraction form
    23,512.52/32,447.80 = 12,902.10/x
  3. Step 3: Cross multiply
    23,512.52x = 32,447.80 × 12,902.10
  4. Step 4: Simplify right side
    23,512.52x = 418,644,760.38
  5. Step 5: Solve for x
    x = 418,644,760.38/23,512.52
  6. Step 6: Final answer
    x = 17,805.18

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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.