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Finding the Fourth Proportional to 7,951.92, 11,933.28 and 2,757.78

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Solution

The fourth proportional to 7,951.92, 11,933.28 and 2,757.78 is: 4,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.92 : 11,933.28 = 2,757.78 : x
  2. Step 2: Convert to fraction form
    7,951.92/11,933.28 = 2,757.78/x
  3. Step 3: Cross multiply
    7,951.92x = 11,933.28 × 2,757.78
  4. Step 4: Simplify right side
    7,951.92x = 32,909,360.92
  5. Step 5: Solve for x
    x = 32,909,360.92/7,951.92
  6. Step 6: Final answer
    x = 4,138.54

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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.