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Finding the Fourth Proportional to 3,866.08, 5,796.72 and 2,135.92

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Solution

The fourth proportional to 3,866.08, 5,796.72 and 2,135.92 is: 3,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.08 : 5,796.72 = 2,135.92 : x
  2. Step 2: Convert to fraction form
    3,866.08/5,796.72 = 2,135.92/x
  3. Step 3: Cross multiply
    3,866.08x = 5,796.72 × 2,135.92
  4. Step 4: Simplify right side
    3,866.08x = 12,381,330.18
  5. Step 5: Solve for x
    x = 12,381,330.18/3,866.08
  6. Step 6: Final answer
    x = 3,202.55

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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.