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Finding the Fourth Proportional to 8,105, 11,184.90 and 4,379

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Solution

The fourth proportional to 8,105, 11,184.90 and 4,379 is: 6,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105 : 11,184.90 = 4,379 : x
  2. Step 2: Convert to fraction form
    8,105/11,184.90 = 4,379/x
  3. Step 3: Cross multiply
    8,105x = 11,184.90 × 4,379
  4. Step 4: Simplify right side
    8,105x = 48,978,677.10
  5. Step 5: Solve for x
    x = 48,978,677.10/8,105
  6. Step 6: Final answer
    x = 6,043.02

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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.