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Finding the Fourth Proportional to 8,204, 11,321.68 and 4,892

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Solution

The fourth proportional to 8,204, 11,321.68 and 4,892 is: 6,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 11,321.68 = 4,892 : x
  2. Step 2: Convert to fraction form
    8,204/11,321.68 = 4,892/x
  3. Step 3: Cross multiply
    8,204x = 11,321.68 × 4,892
  4. Step 4: Simplify right side
    8,204x = 55,385,658.56
  5. Step 5: Solve for x
    x = 55,385,658.56/8,204
  6. Step 6: Final answer
    x = 6,751.06

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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.