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Finding the Fourth Proportional to 11,872.98, 17,803.53 and 3,972.78

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Solution

The fourth proportional to 11,872.98, 17,803.53 and 3,972.78 is: 5,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.98 : 17,803.53 = 3,972.78 : x
  2. Step 2: Convert to fraction form
    11,872.98/17,803.53 = 3,972.78/x
  3. Step 3: Cross multiply
    11,872.98x = 17,803.53 × 3,972.78
  4. Step 4: Simplify right side
    11,872.98x = 70,729,507.91
  5. Step 5: Solve for x
    x = 70,729,507.91/11,872.98
  6. Step 6: Final answer
    x = 5,957.18

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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.