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Finding the Fourth Proportional to 11,660, 17,490.48 and 3,452

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Solution

The fourth proportional to 11,660, 17,490.48 and 3,452 is: 5,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660 : 17,490.48 = 3,452 : x
  2. Step 2: Convert to fraction form
    11,660/17,490.48 = 3,452/x
  3. Step 3: Cross multiply
    11,660x = 17,490.48 × 3,452
  4. Step 4: Simplify right side
    11,660x = 60,377,136.96
  5. Step 5: Solve for x
    x = 60,377,136.96/11,660
  6. Step 6: Final answer
    x = 5,178.14

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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.