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Finding the Fourth Proportional to 10,914.84, 16,375.44 and 3,519.12

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Solution

The fourth proportional to 10,914.84, 16,375.44 and 3,519.12 is: 5,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.84 : 16,375.44 = 3,519.12 : x
  2. Step 2: Convert to fraction form
    10,914.84/16,375.44 = 3,519.12/x
  3. Step 3: Cross multiply
    10,914.84x = 16,375.44 × 3,519.12
  4. Step 4: Simplify right side
    10,914.84x = 57,627,138.41
  5. Step 5: Solve for x
    x = 57,627,138.41/10,914.84
  6. Step 6: Final answer
    x = 5,279.71

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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.