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Finding the Fourth Proportional to 5,197.87, 7,172.97 and 2,839.96

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Solution

The fourth proportional to 5,197.87, 7,172.97 and 2,839.96 is: 3,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.87 : 7,172.97 = 2,839.96 : x
  2. Step 2: Convert to fraction form
    5,197.87/7,172.97 = 2,839.96/x
  3. Step 3: Cross multiply
    5,197.87x = 7,172.97 × 2,839.96
  4. Step 4: Simplify right side
    5,197.87x = 20,370,912.02
  5. Step 5: Solve for x
    x = 20,370,912.02/5,197.87
  6. Step 6: Final answer
    x = 3,919.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.