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Finding the Fourth Proportional to 5,198.62, 7,797.96 and 2,078.89

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Solution

The fourth proportional to 5,198.62, 7,797.96 and 2,078.89 is: 3,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.62 : 7,797.96 = 2,078.89 : x
  2. Step 2: Convert to fraction form
    5,198.62/7,797.96 = 2,078.89/x
  3. Step 3: Cross multiply
    5,198.62x = 7,797.96 × 2,078.89
  4. Step 4: Simplify right side
    5,198.62x = 16,211,081.57
  5. Step 5: Solve for x
    x = 16,211,081.57/5,198.62
  6. Step 6: Final answer
    x = 3,118.34

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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.