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Finding the Fourth Proportional to 10,872.65, 16,310.39 and 3,081.66

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Solution

The fourth proportional to 10,872.65, 16,310.39 and 3,081.66 is: 4,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.65 : 16,310.39 = 3,081.66 : x
  2. Step 2: Convert to fraction form
    10,872.65/16,310.39 = 3,081.66/x
  3. Step 3: Cross multiply
    10,872.65x = 16,310.39 × 3,081.66
  4. Step 4: Simplify right side
    10,872.65x = 50,263,061.04
  5. Step 5: Solve for x
    x = 50,263,061.04/10,872.65
  6. Step 6: Final answer
    x = 4,622.89

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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.