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Finding the Fourth Proportional to 8,080.50, 11,151.23 and 5,286

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Solution

The fourth proportional to 8,080.50, 11,151.23 and 5,286 is: 7,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080.50 : 11,151.23 = 5,286 : x
  2. Step 2: Convert to fraction form
    8,080.50/11,151.23 = 5,286/x
  3. Step 3: Cross multiply
    8,080.50x = 11,151.23 × 5,286
  4. Step 4: Simplify right side
    8,080.50x = 58,945,375.35
  5. Step 5: Solve for x
    x = 58,945,375.35/8,080.50
  6. Step 6: Final answer
    x = 7,294.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.