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Finding the Fourth Proportional to 6,387.75, 8,815.64 and 3,593.79

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Solution

The fourth proportional to 6,387.75, 8,815.64 and 3,593.79 is: 4,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.75 : 8,815.64 = 3,593.79 : x
  2. Step 2: Convert to fraction form
    6,387.75/8,815.64 = 3,593.79/x
  3. Step 3: Cross multiply
    6,387.75x = 8,815.64 × 3,593.79
  4. Step 4: Simplify right side
    6,387.75x = 31,681,540.91
  5. Step 5: Solve for x
    x = 31,681,540.91/6,387.75
  6. Step 6: Final answer
    x = 4,959.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.