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Finding the Fourth Proportional to 11,439, 17,161.38 and 3,231

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Solution

The fourth proportional to 11,439, 17,161.38 and 3,231 is: 4,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439 : 17,161.38 = 3,231 : x
  2. Step 2: Convert to fraction form
    11,439/17,161.38 = 3,231/x
  3. Step 3: Cross multiply
    11,439x = 17,161.38 × 3,231
  4. Step 4: Simplify right side
    11,439x = 55,448,418.78
  5. Step 5: Solve for x
    x = 55,448,418.78/11,439
  6. Step 6: Final answer
    x = 4,847.31

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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.