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Finding the Fourth Proportional to 6,712.78, 10,072.17 and 3,424.14

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Solution

The fourth proportional to 6,712.78, 10,072.17 and 3,424.14 is: 5,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.78 : 10,072.17 = 3,424.14 : x
  2. Step 2: Convert to fraction form
    6,712.78/10,072.17 = 3,424.14/x
  3. Step 3: Cross multiply
    6,712.78x = 10,072.17 × 3,424.14
  4. Step 4: Simplify right side
    6,712.78x = 34,488,520.18
  5. Step 5: Solve for x
    x = 34,488,520.18/6,712.78
  6. Step 6: Final answer
    x = 5,137.74

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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.