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Finding the Fourth Proportional to 5,410.72, 7,467 and 3,172.28

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Solution

The fourth proportional to 5,410.72, 7,467 and 3,172.28 is: 4,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.72 : 7,467 = 3,172.28 : x
  2. Step 2: Convert to fraction form
    5,410.72/7,467 = 3,172.28/x
  3. Step 3: Cross multiply
    5,410.72x = 7,467 × 3,172.28
  4. Step 4: Simplify right side
    5,410.72x = 23,687,414.76
  5. Step 5: Solve for x
    x = 23,687,414.76/5,410.72
  6. Step 6: Final answer
    x = 4,377.87

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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.