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Finding the Fourth Proportional to 2,481.82, 3,722.72 and 942.82

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Solution

The fourth proportional to 2,481.82, 3,722.72 and 942.82 is: 1,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.82 : 3,722.72 = 942.82 : x
  2. Step 2: Convert to fraction form
    2,481.82/3,722.72 = 942.82/x
  3. Step 3: Cross multiply
    2,481.82x = 3,722.72 × 942.82
  4. Step 4: Simplify right side
    2,481.82x = 3,509,854.87
  5. Step 5: Solve for x
    x = 3,509,854.87/2,481.82
  6. Step 6: Final answer
    x = 1,414.23

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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.