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Finding the Fourth Proportional to 10,807.68, 16,213.76 and 3,414.08

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Solution

The fourth proportional to 10,807.68, 16,213.76 and 3,414.08 is: 5,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.68 : 16,213.76 = 3,414.08 : x
  2. Step 2: Convert to fraction form
    10,807.68/16,213.76 = 3,414.08/x
  3. Step 3: Cross multiply
    10,807.68x = 16,213.76 × 3,414.08
  4. Step 4: Simplify right side
    10,807.68x = 55,355,073.74
  5. Step 5: Solve for x
    x = 55,355,073.74/10,807.68
  6. Step 6: Final answer
    x = 5,121.83

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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.