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Finding the Fourth Proportional to 5,198.80, 7,788.12 and 2,603.92

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Solution

The fourth proportional to 5,198.80, 7,788.12 and 2,603.92 is: 3,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.80 : 7,788.12 = 2,603.92 : x
  2. Step 2: Convert to fraction form
    5,198.80/7,788.12 = 2,603.92/x
  3. Step 3: Cross multiply
    5,198.80x = 7,788.12 × 2,603.92
  4. Step 4: Simplify right side
    5,198.80x = 20,279,641.43
  5. Step 5: Solve for x
    x = 20,279,641.43/5,198.80
  6. Step 6: Final answer
    x = 3,900.83

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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.