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Finding the Fourth Proportional to 7,311.88, 10,972.72 and 2,694.88

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Solution

The fourth proportional to 7,311.88, 10,972.72 and 2,694.88 is: 4,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.88 : 10,972.72 = 2,694.88 : x
  2. Step 2: Convert to fraction form
    7,311.88/10,972.72 = 2,694.88/x
  3. Step 3: Cross multiply
    7,311.88x = 10,972.72 × 2,694.88
  4. Step 4: Simplify right side
    7,311.88x = 29,570,163.67
  5. Step 5: Solve for x
    x = 29,570,163.67/7,311.88
  6. Step 6: Final answer
    x = 4,044.13

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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.