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Finding the Fourth Proportional to 7,760.69, 11,631.92 and 3,591.90

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Solution

The fourth proportional to 7,760.69, 11,631.92 and 3,591.90 is: 5,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.69 : 11,631.92 = 3,591.90 : x
  2. Step 2: Convert to fraction form
    7,760.69/11,631.92 = 3,591.90/x
  3. Step 3: Cross multiply
    7,760.69x = 11,631.92 × 3,591.90
  4. Step 4: Simplify right side
    7,760.69x = 41,780,673.08
  5. Step 5: Solve for x
    x = 41,780,673.08/7,760.69
  6. Step 6: Final answer
    x = 5,383.63

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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.