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Finding the Fourth Proportional to 5,197.39, 7,799.16 and 2,078.87

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Solution

The fourth proportional to 5,197.39, 7,799.16 and 2,078.87 is: 3,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.39 : 7,799.16 = 2,078.87 : x
  2. Step 2: Convert to fraction form
    5,197.39/7,799.16 = 2,078.87/x
  3. Step 3: Cross multiply
    5,197.39x = 7,799.16 × 2,078.87
  4. Step 4: Simplify right side
    5,197.39x = 16,213,439.75
  5. Step 5: Solve for x
    x = 16,213,439.75/5,197.39
  6. Step 6: Final answer
    x = 3,119.53

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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.