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Finding the Fourth Proportional to 5,198.73, 7,793.64 and 1,910.13

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Solution

The fourth proportional to 5,198.73, 7,793.64 and 1,910.13 is: 2,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.73 : 7,793.64 = 1,910.13 : x
  2. Step 2: Convert to fraction form
    5,198.73/7,793.64 = 1,910.13/x
  3. Step 3: Cross multiply
    5,198.73x = 7,793.64 × 1,910.13
  4. Step 4: Simplify right side
    5,198.73x = 14,886,865.57
  5. Step 5: Solve for x
    x = 14,886,865.57/5,198.73
  6. Step 6: Final answer
    x = 2,863.56

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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.