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Finding the Fourth Proportional to 5,197.66, 7,172.92 and 2,839.95

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Solution

The fourth proportional to 5,197.66, 7,172.92 and 2,839.95 is: 3,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.66 : 7,172.92 = 2,839.95 : x
  2. Step 2: Convert to fraction form
    5,197.66/7,172.92 = 2,839.95/x
  3. Step 3: Cross multiply
    5,197.66x = 7,172.92 × 2,839.95
  4. Step 4: Simplify right side
    5,197.66x = 20,370,734.15
  5. Step 5: Solve for x
    x = 20,370,734.15/5,197.66
  6. Step 6: Final answer
    x = 3,919.21

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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.