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Finding the Fourth Proportional to 2,481.29, 3,722.42 and 838.30

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Solution

The fourth proportional to 2,481.29, 3,722.42 and 838.30 is: 1,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.29 : 3,722.42 = 838.30 : x
  2. Step 2: Convert to fraction form
    2,481.29/3,722.42 = 838.30/x
  3. Step 3: Cross multiply
    2,481.29x = 3,722.42 × 838.30
  4. Step 4: Simplify right side
    2,481.29x = 3,120,491.19
  5. Step 5: Solve for x
    x = 3,120,491.19/2,481.29
  6. Step 6: Final answer
    x = 1,257.61

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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.