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Finding the Fourth Proportional to 6,463.90, 8,920.38 and 4,578.86

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Solution

The fourth proportional to 6,463.90, 8,920.38 and 4,578.86 is: 6,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.90 : 8,920.38 = 4,578.86 : x
  2. Step 2: Convert to fraction form
    6,463.90/8,920.38 = 4,578.86/x
  3. Step 3: Cross multiply
    6,463.90x = 8,920.38 × 4,578.86
  4. Step 4: Simplify right side
    6,463.90x = 40,845,171.17
  5. Step 5: Solve for x
    x = 40,845,171.17/6,463.90
  6. Step 6: Final answer
    x = 6,318.97

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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.