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Finding the Fourth Proportional to 3,952, 5,456.04 and 3,022.24

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Solution

The fourth proportional to 3,952, 5,456.04 and 3,022.24 is: 4,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952 : 5,456.04 = 3,022.24 : x
  2. Step 2: Convert to fraction form
    3,952/5,456.04 = 3,022.24/x
  3. Step 3: Cross multiply
    3,952x = 5,456.04 × 3,022.24
  4. Step 4: Simplify right side
    3,952x = 16,489,462.33
  5. Step 5: Solve for x
    x = 16,489,462.33/3,952
  6. Step 6: Final answer
    x = 4,172.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.