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Finding the Fourth Proportional to 8,249.84, 12,360.34 and 6,872

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Solution

The fourth proportional to 8,249.84, 12,360.34 and 6,872 is: 10,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.84 : 12,360.34 = 6,872 : x
  2. Step 2: Convert to fraction form
    8,249.84/12,360.34 = 6,872/x
  3. Step 3: Cross multiply
    8,249.84x = 12,360.34 × 6,872
  4. Step 4: Simplify right side
    8,249.84x = 84,940,256.48
  5. Step 5: Solve for x
    x = 84,940,256.48/8,249.84
  6. Step 6: Final answer
    x = 10,295.99

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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.