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Finding the Fourth Proportional to 3,912.18, 5,859 and 3,396.42

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Solution

The fourth proportional to 3,912.18, 5,859 and 3,396.42 is: 5,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.18 : 5,859 = 3,396.42 : x
  2. Step 2: Convert to fraction form
    3,912.18/5,859 = 3,396.42/x
  3. Step 3: Cross multiply
    3,912.18x = 5,859 × 3,396.42
  4. Step 4: Simplify right side
    3,912.18x = 19,899,624.78
  5. Step 5: Solve for x
    x = 19,899,624.78/3,912.18
  6. Step 6: Final answer
    x = 5,086.58

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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.