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Finding the Fourth Proportional to 8,204, 12,305.88 and 3,819

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Solution

The fourth proportional to 8,204, 12,305.88 and 3,819 is: 5,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 12,305.88 = 3,819 : x
  2. Step 2: Convert to fraction form
    8,204/12,305.88 = 3,819/x
  3. Step 3: Cross multiply
    8,204x = 12,305.88 × 3,819
  4. Step 4: Simplify right side
    8,204x = 46,996,155.72
  5. Step 5: Solve for x
    x = 46,996,155.72/8,204
  6. Step 6: Final answer
    x = 5,728.44

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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.