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Finding the Fourth Proportional to 2,481.39, 3,722.42 and 838.40

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Solution

The fourth proportional to 2,481.39, 3,722.42 and 838.40 is: 1,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.39 : 3,722.42 = 838.40 : x
  2. Step 2: Convert to fraction form
    2,481.39/3,722.42 = 838.40/x
  3. Step 3: Cross multiply
    2,481.39x = 3,722.42 × 838.40
  4. Step 4: Simplify right side
    2,481.39x = 3,120,876.93
  5. Step 5: Solve for x
    x = 3,120,876.93/2,481.39
  6. Step 6: Final answer
    x = 1,257.72

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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.