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Finding the Fourth Proportional to 11,104.78, 16,654.74 and 6,414.88

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Solution

The fourth proportional to 11,104.78, 16,654.74 and 6,414.88 is: 9,620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104.78 : 16,654.74 = 6,414.88 : x
  2. Step 2: Convert to fraction form
    11,104.78/16,654.74 = 6,414.88/x
  3. Step 3: Cross multiply
    11,104.78x = 16,654.74 × 6,414.88
  4. Step 4: Simplify right side
    11,104.78x = 106,838,158.53
  5. Step 5: Solve for x
    x = 106,838,158.53/11,104.78
  6. Step 6: Final answer
    x = 9,620.92

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1.5x scale

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.