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Finding the Fourth Proportional to 3,489.78, 5,234.36 and 1,149.76

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Solution

The fourth proportional to 3,489.78, 5,234.36 and 1,149.76 is: 1,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.78 : 5,234.36 = 1,149.76 : x
  2. Step 2: Convert to fraction form
    3,489.78/5,234.36 = 1,149.76/x
  3. Step 3: Cross multiply
    3,489.78x = 5,234.36 × 1,149.76
  4. Step 4: Simplify right side
    3,489.78x = 6,018,258.55
  5. Step 5: Solve for x
    x = 6,018,258.55/3,489.78
  6. Step 6: Final answer
    x = 1,724.54

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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.