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Finding the Fourth Proportional to 5,172.56, 7,138.17 and 2,934.44

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Solution

The fourth proportional to 5,172.56, 7,138.17 and 2,934.44 is: 4,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.56 : 7,138.17 = 2,934.44 : x
  2. Step 2: Convert to fraction form
    5,172.56/7,138.17 = 2,934.44/x
  3. Step 3: Cross multiply
    5,172.56x = 7,138.17 × 2,934.44
  4. Step 4: Simplify right side
    5,172.56x = 20,946,495.88
  5. Step 5: Solve for x
    x = 20,946,495.88/5,172.56
  6. Step 6: Final answer
    x = 4,049.55

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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.