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Finding the Fourth Proportional to 3,906.46, 5,387.61 and 3,517.66

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Solution

The fourth proportional to 3,906.46, 5,387.61 and 3,517.66 is: 4,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.46 : 5,387.61 = 3,517.66 : x
  2. Step 2: Convert to fraction form
    3,906.46/5,387.61 = 3,517.66/x
  3. Step 3: Cross multiply
    3,906.46x = 5,387.61 × 3,517.66
  4. Step 4: Simplify right side
    3,906.46x = 18,951,780.19
  5. Step 5: Solve for x
    x = 18,951,780.19/3,906.46
  6. Step 6: Final answer
    x = 4,851.39

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1.5x scale

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.