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Finding the Fourth Proportional to 3,902.76, 5,854.14 and 1,305.90

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Solution

The fourth proportional to 3,902.76, 5,854.14 and 1,305.90 is: 1,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,854.14 = 1,305.90 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,854.14 = 1,305.90/x
  3. Step 3: Cross multiply
    3,902.76x = 5,854.14 × 1,305.90
  4. Step 4: Simplify right side
    3,902.76x = 7,644,921.43
  5. Step 5: Solve for x
    x = 7,644,921.43/3,902.76
  6. Step 6: Final answer
    x = 1,958.85

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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.