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Finding the Fourth Proportional to 22,180, 30,608.40 and 12,244

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Solution

The fourth proportional to 22,180, 30,608.40 and 12,244 is: 16,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,180 : 30,608.40 = 12,244 : x
  2. Step 2: Convert to fraction form
    22,180/30,608.40 = 12,244/x
  3. Step 3: Cross multiply
    22,180x = 30,608.40 × 12,244
  4. Step 4: Simplify right side
    22,180x = 374,769,249.60
  5. Step 5: Solve for x
    x = 374,769,249.60/22,180
  6. Step 6: Final answer
    x = 16,896.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.