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Finding the Fourth Proportional to 12,205.98, 18,324.09 and 12,149.82

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Solution

The fourth proportional to 12,205.98, 18,324.09 and 12,149.82 is: 18,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.98 : 18,324.09 = 12,149.82 : x
  2. Step 2: Convert to fraction form
    12,205.98/18,324.09 = 12,149.82/x
  3. Step 3: Cross multiply
    12,205.98x = 18,324.09 × 12,149.82
  4. Step 4: Simplify right side
    12,205.98x = 222,634,395.16
  5. Step 5: Solve for x
    x = 222,634,395.16/12,205.98
  6. Step 6: Final answer
    x = 18,239.78

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1.5x scale

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.