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Finding the Fourth Proportional to 22,247.78, 33,360.90 and 8,214.41

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Solution

The fourth proportional to 22,247.78, 33,360.90 and 8,214.41 is: 12,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,247.78 : 33,360.90 = 8,214.41 : x
  2. Step 2: Convert to fraction form
    22,247.78/33,360.90 = 8,214.41/x
  3. Step 3: Cross multiply
    22,247.78x = 33,360.90 × 8,214.41
  4. Step 4: Simplify right side
    22,247.78x = 274,040,110.57
  5. Step 5: Solve for x
    x = 274,040,110.57/22,247.78
  6. Step 6: Final answer
    x = 12,317.64

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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.