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Finding the Fourth Proportional to 3,972.64, 5,963.36 and 2,814.88

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Solution

The fourth proportional to 3,972.64, 5,963.36 and 2,814.88 is: 4,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.64 : 5,963.36 = 2,814.88 : x
  2. Step 2: Convert to fraction form
    3,972.64/5,963.36 = 2,814.88/x
  3. Step 3: Cross multiply
    3,972.64x = 5,963.36 × 2,814.88
  4. Step 4: Simplify right side
    3,972.64x = 16,786,142.80
  5. Step 5: Solve for x
    x = 16,786,142.80/3,972.64
  6. Step 6: Final answer
    x = 4,225.44

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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.