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Finding the Fourth Proportional to 10,799, 16,200.21 and 3,778.85

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Solution

The fourth proportional to 10,799, 16,200.21 and 3,778.85 is: 5,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799 : 16,200.21 = 3,778.85 : x
  2. Step 2: Convert to fraction form
    10,799/16,200.21 = 3,778.85/x
  3. Step 3: Cross multiply
    10,799x = 16,200.21 × 3,778.85
  4. Step 4: Simplify right side
    10,799x = 61,218,082.56
  5. Step 5: Solve for x
    x = 61,218,082.56/10,799
  6. Step 6: Final answer
    x = 5,668.87

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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.