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Finding the Fourth Proportional to 3,693.78, 5,542.32 and 1,962

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Solution

The fourth proportional to 3,693.78, 5,542.32 and 1,962 is: 2,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.78 : 5,542.32 = 1,962 : x
  2. Step 2: Convert to fraction form
    3,693.78/5,542.32 = 1,962/x
  3. Step 3: Cross multiply
    3,693.78x = 5,542.32 × 1,962
  4. Step 4: Simplify right side
    3,693.78x = 10,874,031.84
  5. Step 5: Solve for x
    x = 10,874,031.84/3,693.78
  6. Step 6: Final answer
    x = 2,943.88

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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.