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Finding the Fourth Proportional to 3,912.30, 5,869.03 and 1,138.61

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Solution

The fourth proportional to 3,912.30, 5,869.03 and 1,138.61 is: 1,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.30 : 5,869.03 = 1,138.61 : x
  2. Step 2: Convert to fraction form
    3,912.30/5,869.03 = 1,138.61/x
  3. Step 3: Cross multiply
    3,912.30x = 5,869.03 × 1,138.61
  4. Step 4: Simplify right side
    3,912.30x = 6,682,548.07
  5. Step 5: Solve for x
    x = 6,682,548.07/3,912.30
  6. Step 6: Final answer
    x = 1,708.09

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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.