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Finding the Fourth Proportional to 10,872, 16,310.85 and 3,476.61

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Solution

The fourth proportional to 10,872, 16,310.85 and 3,476.61 is: 5,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872 : 16,310.85 = 3,476.61 : x
  2. Step 2: Convert to fraction form
    10,872/16,310.85 = 3,476.61/x
  3. Step 3: Cross multiply
    10,872x = 16,310.85 × 3,476.61
  4. Step 4: Simplify right side
    10,872x = 56,706,464.22
  5. Step 5: Solve for x
    x = 56,706,464.22/10,872
  6. Step 6: Final answer
    x = 5,215.83

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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.