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Finding the Fourth Proportional to 7,757.31, 11,635.98 and 6,387.69

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Solution

The fourth proportional to 7,757.31, 11,635.98 and 6,387.69 is: 9,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.31 : 11,635.98 = 6,387.69 : x
  2. Step 2: Convert to fraction form
    7,757.31/11,635.98 = 6,387.69/x
  3. Step 3: Cross multiply
    7,757.31x = 11,635.98 × 6,387.69
  4. Step 4: Simplify right side
    7,757.31x = 74,327,033.09
  5. Step 5: Solve for x
    x = 74,327,033.09/7,757.31
  6. Step 6: Final answer
    x = 9,581.55

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1.5x scale

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.