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Finding the Fourth Proportional to 2,481.82, 3,723 and 921.64

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Solution

The fourth proportional to 2,481.82, 3,723 and 921.64 is: 1,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.82 : 3,723 = 921.64 : x
  2. Step 2: Convert to fraction form
    2,481.82/3,723 = 921.64/x
  3. Step 3: Cross multiply
    2,481.82x = 3,723 × 921.64
  4. Step 4: Simplify right side
    2,481.82x = 3,431,265.72
  5. Step 5: Solve for x
    x = 3,431,265.72/2,481.82
  6. Step 6: Final answer
    x = 1,382.56

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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.