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Finding the Fourth Proportional to 2,081.25, 3,121.92 and 542.25

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Solution

The fourth proportional to 2,081.25, 3,121.92 and 542.25 is: 813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.25 : 3,121.92 = 542.25 : x
  2. Step 2: Convert to fraction form
    2,081.25/3,121.92 = 542.25/x
  3. Step 3: Cross multiply
    2,081.25x = 3,121.92 × 542.25
  4. Step 4: Simplify right side
    2,081.25x = 1,692,861.12
  5. Step 5: Solve for x
    x = 1,692,861.12/2,081.25
  6. Step 6: Final answer
    x = 813.39

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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.