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Finding the Fourth Proportional to 8,124, 11,211.14 and 4,398

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Solution

The fourth proportional to 8,124, 11,211.14 and 4,398 is: 6,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 11,211.14 = 4,398 : x
  2. Step 2: Convert to fraction form
    8,124/11,211.14 = 4,398/x
  3. Step 3: Cross multiply
    8,124x = 11,211.14 × 4,398
  4. Step 4: Simplify right side
    8,124x = 49,306,571.73
  5. Step 5: Solve for x
    x = 49,306,571.73/8,124
  6. Step 6: Final answer
    x = 6,069.25

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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.