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Finding the Fourth Proportional to 16,478, 24,655 and 11,557.24

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Solution

The fourth proportional to 16,478, 24,655 and 11,557.24 is: 17,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478 : 24,655 = 11,557.24 : x
  2. Step 2: Convert to fraction form
    16,478/24,655 = 11,557.24/x
  3. Step 3: Cross multiply
    16,478x = 24,655 × 11,557.24
  4. Step 4: Simplify right side
    16,478x = 284,943,752.20
  5. Step 5: Solve for x
    x = 284,943,752.20/16,478
  6. Step 6: Final answer
    x = 17,292.37

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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.