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Finding the Fourth Proportional to 11,661, 17,494.46 and 3,453

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Solution

The fourth proportional to 11,661, 17,494.46 and 3,453 is: 5,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661 : 17,494.46 = 3,453 : x
  2. Step 2: Convert to fraction form
    11,661/17,494.46 = 3,453/x
  3. Step 3: Cross multiply
    11,661x = 17,494.46 × 3,453
  4. Step 4: Simplify right side
    11,661x = 60,408,370.38
  5. Step 5: Solve for x
    x = 60,408,370.38/11,661
  6. Step 6: Final answer
    x = 5,180.38

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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.