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Finding the Fourth Proportional to 7,311.88, 10,954.05 and 3,609.78

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Solution

The fourth proportional to 7,311.88, 10,954.05 and 3,609.78 is: 5,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.88 : 10,954.05 = 3,609.78 : x
  2. Step 2: Convert to fraction form
    7,311.88/10,954.05 = 3,609.78/x
  3. Step 3: Cross multiply
    7,311.88x = 10,954.05 × 3,609.78
  4. Step 4: Simplify right side
    7,311.88x = 39,541,710.61
  5. Step 5: Solve for x
    x = 39,541,710.61/7,311.88
  6. Step 6: Final answer
    x = 5,407.87

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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.