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Finding the Fourth Proportional to 10,917.28, 16,375.92 and 2,709.28

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Solution

The fourth proportional to 10,917.28, 16,375.92 and 2,709.28 is: 4,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.28 : 16,375.92 = 2,709.28 : x
  2. Step 2: Convert to fraction form
    10,917.28/16,375.92 = 2,709.28/x
  3. Step 3: Cross multiply
    10,917.28x = 16,375.92 × 2,709.28
  4. Step 4: Simplify right side
    10,917.28x = 44,366,952.54
  5. Step 5: Solve for x
    x = 44,366,952.54/10,917.28
  6. Step 6: Final answer
    x = 4,063.92

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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.