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Finding the Fourth Proportional to 3,490.57, 5,236.17 and 1,149.88

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Solution

The fourth proportional to 3,490.57, 5,236.17 and 1,149.88 is: 1,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.57 : 5,236.17 = 1,149.88 : x
  2. Step 2: Convert to fraction form
    3,490.57/5,236.17 = 1,149.88/x
  3. Step 3: Cross multiply
    3,490.57x = 5,236.17 × 1,149.88
  4. Step 4: Simplify right side
    3,490.57x = 6,020,967.16
  5. Step 5: Solve for x
    x = 6,020,967.16/3,490.57
  6. Step 6: Final answer
    x = 1,724.92

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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.