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Finding the Fourth Proportional to 6,385.98, 9,582.80 and 2,687.97

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Solution

The fourth proportional to 6,385.98, 9,582.80 and 2,687.97 is: 4,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.98 : 9,582.80 = 2,687.97 : x
  2. Step 2: Convert to fraction form
    6,385.98/9,582.80 = 2,687.97/x
  3. Step 3: Cross multiply
    6,385.98x = 9,582.80 × 2,687.97
  4. Step 4: Simplify right side
    6,385.98x = 25,758,265.48
  5. Step 5: Solve for x
    x = 25,758,265.48/6,385.98
  6. Step 6: Final answer
    x = 4,033.57

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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.