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Finding the Fourth Proportional to 8,294.88, 12,442.32 and 6,831

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Solution

The fourth proportional to 8,294.88, 12,442.32 and 6,831 is: 10,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.88 : 12,442.32 = 6,831 : x
  2. Step 2: Convert to fraction form
    8,294.88/12,442.32 = 6,831/x
  3. Step 3: Cross multiply
    8,294.88x = 12,442.32 × 6,831
  4. Step 4: Simplify right side
    8,294.88x = 84,993,487.92
  5. Step 5: Solve for x
    x = 84,993,487.92/8,294.88
  6. Step 6: Final answer
    x = 10,246.50

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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.