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Finding the Fourth Proportional to 16,691.60, 25,050 and 11,414

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Solution

The fourth proportional to 16,691.60, 25,050 and 11,414 is: 17,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.60 : 25,050 = 11,414 : x
  2. Step 2: Convert to fraction form
    16,691.60/25,050 = 11,414/x
  3. Step 3: Cross multiply
    16,691.60x = 25,050 × 11,414
  4. Step 4: Simplify right side
    16,691.60x = 285,920,700
  5. Step 5: Solve for x
    x = 285,920,700/16,691.60
  6. Step 6: Final answer
    x = 17,129.62

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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.