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Finding the Fourth Proportional to 6,414.71, 8,845.32 and 4,172.43

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Solution

The fourth proportional to 6,414.71, 8,845.32 and 4,172.43 is: 5,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.71 : 8,845.32 = 4,172.43 : x
  2. Step 2: Convert to fraction form
    6,414.71/8,845.32 = 4,172.43/x
  3. Step 3: Cross multiply
    6,414.71x = 8,845.32 × 4,172.43
  4. Step 4: Simplify right side
    6,414.71x = 36,906,454.12
  5. Step 5: Solve for x
    x = 36,906,454.12/6,414.71
  6. Step 6: Final answer
    x = 5,753.41

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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.