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Finding the Fourth Proportional to 3,694.74, 5,542.12 and 921.42

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Solution

The fourth proportional to 3,694.74, 5,542.12 and 921.42 is: 1,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.74 : 5,542.12 = 921.42 : x
  2. Step 2: Convert to fraction form
    3,694.74/5,542.12 = 921.42/x
  3. Step 3: Cross multiply
    3,694.74x = 5,542.12 × 921.42
  4. Step 4: Simplify right side
    3,694.74x = 5,106,620.21
  5. Step 5: Solve for x
    x = 5,106,620.21/3,694.74
  6. Step 6: Final answer
    x = 1,382.13

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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.