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Finding the Fourth Proportional to 6,398.62, 9,603.40 and 2,505.76

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Solution

The fourth proportional to 6,398.62, 9,603.40 and 2,505.76 is: 3,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.62 : 9,603.40 = 2,505.76 : x
  2. Step 2: Convert to fraction form
    6,398.62/9,603.40 = 2,505.76/x
  3. Step 3: Cross multiply
    6,398.62x = 9,603.40 × 2,505.76
  4. Step 4: Simplify right side
    6,398.62x = 24,063,815.58
  5. Step 5: Solve for x
    x = 24,063,815.58/6,398.62
  6. Step 6: Final answer
    x = 3,760.78

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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.