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Finding the Fourth Proportional to 22,161.90, 33,232.98 and 8,118.23

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Solution

The fourth proportional to 22,161.90, 33,232.98 and 8,118.23 is: 12,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.90 : 33,232.98 = 8,118.23 : x
  2. Step 2: Convert to fraction form
    22,161.90/33,232.98 = 8,118.23/x
  3. Step 3: Cross multiply
    22,161.90x = 33,232.98 × 8,118.23
  4. Step 4: Simplify right side
    22,161.90x = 269,792,839.50
  5. Step 5: Solve for x
    x = 269,792,839.50/22,161.90
  6. Step 6: Final answer
    x = 12,173.72

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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.