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Finding the Fourth Proportional to 3,972, 5,958 and 2,721.36

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Solution

The fourth proportional to 3,972, 5,958 and 2,721.36 is: 4,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,958 = 2,721.36 : x
  2. Step 2: Convert to fraction form
    3,972/5,958 = 2,721.36/x
  3. Step 3: Cross multiply
    3,972x = 5,958 × 2,721.36
  4. Step 4: Simplify right side
    3,972x = 16,213,862.88
  5. Step 5: Solve for x
    x = 16,213,862.88/3,972
  6. Step 6: Final answer
    x = 4,082.04

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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.