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Finding the Fourth Proportional to 8,165, 11,267.70 and 4,439

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Solution

The fourth proportional to 8,165, 11,267.70 and 4,439 is: 6,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165 : 11,267.70 = 4,439 : x
  2. Step 2: Convert to fraction form
    8,165/11,267.70 = 4,439/x
  3. Step 3: Cross multiply
    8,165x = 11,267.70 × 4,439
  4. Step 4: Simplify right side
    8,165x = 50,017,320.30
  5. Step 5: Solve for x
    x = 50,017,320.30/8,165
  6. Step 6: Final answer
    x = 6,125.82

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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.