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Finding the Fourth Proportional to 3,865.80, 5,796.30 and 2,221.52

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Solution

The fourth proportional to 3,865.80, 5,796.30 and 2,221.52 is: 3,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.80 : 5,796.30 = 2,221.52 : x
  2. Step 2: Convert to fraction form
    3,865.80/5,796.30 = 2,221.52/x
  3. Step 3: Cross multiply
    3,865.80x = 5,796.30 × 2,221.52
  4. Step 4: Simplify right side
    3,865.80x = 12,876,596.38
  5. Step 5: Solve for x
    x = 12,876,596.38/3,865.80
  6. Step 6: Final answer
    x = 3,330.90

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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.