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Finding the Fourth Proportional to 8,143.17, 11,227.73 and 6,882

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Solution

The fourth proportional to 8,143.17, 11,227.73 and 6,882 is: 9,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.17 : 11,227.73 = 6,882 : x
  2. Step 2: Convert to fraction form
    8,143.17/11,227.73 = 6,882/x
  3. Step 3: Cross multiply
    8,143.17x = 11,227.73 × 6,882
  4. Step 4: Simplify right side
    8,143.17x = 77,269,203.45
  5. Step 5: Solve for x
    x = 77,269,203.45/8,143.17
  6. Step 6: Final answer
    x = 9,488.84

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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.