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Finding the Fourth Proportional to 5,198.67, 7,793.15 and 1,910.88

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Solution

The fourth proportional to 5,198.67, 7,793.15 and 1,910.88 is: 2,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.67 : 7,793.15 = 1,910.88 : x
  2. Step 2: Convert to fraction form
    5,198.67/7,793.15 = 1,910.88/x
  3. Step 3: Cross multiply
    5,198.67x = 7,793.15 × 1,910.88
  4. Step 4: Simplify right side
    5,198.67x = 14,891,764.92
  5. Step 5: Solve for x
    x = 14,891,764.92/5,198.67
  6. Step 6: Final answer
    x = 2,864.53

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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.