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Finding the Fourth Proportional to 3,912.39, 5,868.57 and 1,445.94

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Solution

The fourth proportional to 3,912.39, 5,868.57 and 1,445.94 is: 2,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.39 : 5,868.57 = 1,445.94 : x
  2. Step 2: Convert to fraction form
    3,912.39/5,868.57 = 1,445.94/x
  3. Step 3: Cross multiply
    3,912.39x = 5,868.57 × 1,445.94
  4. Step 4: Simplify right side
    3,912.39x = 8,485,600.11
  5. Step 5: Solve for x
    x = 8,485,600.11/3,912.39
  6. Step 6: Final answer
    x = 2,168.90

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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.