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Finding the Fourth Proportional to 7,793.28, 11,691 and 2,600.64

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Solution

The fourth proportional to 7,793.28, 11,691 and 2,600.64 is: 3,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.28 : 11,691 = 2,600.64 : x
  2. Step 2: Convert to fraction form
    7,793.28/11,691 = 2,600.64/x
  3. Step 3: Cross multiply
    7,793.28x = 11,691 × 2,600.64
  4. Step 4: Simplify right side
    7,793.28x = 30,404,082.24
  5. Step 5: Solve for x
    x = 30,404,082.24/7,793.28
  6. Step 6: Final answer
    x = 3,901.32

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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.