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Finding the Fourth Proportional to 11,021.80, 16,531.10 and 3,229.80

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Solution

The fourth proportional to 11,021.80, 16,531.10 and 3,229.80 is: 4,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.80 : 16,531.10 = 3,229.80 : x
  2. Step 2: Convert to fraction form
    11,021.80/16,531.10 = 3,229.80/x
  3. Step 3: Cross multiply
    11,021.80x = 16,531.10 × 3,229.80
  4. Step 4: Simplify right side
    11,021.80x = 53,392,146.78
  5. Step 5: Solve for x
    x = 53,392,146.78/11,021.80
  6. Step 6: Final answer
    x = 4,844.23

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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.