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Finding the Fourth Proportional to 22,480.75, 33,722.75 and 8,629.75

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Solution

The fourth proportional to 22,480.75, 33,722.75 and 8,629.75 is: 12,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.75 : 33,722.75 = 8,629.75 : x
  2. Step 2: Convert to fraction form
    22,480.75/33,722.75 = 8,629.75/x
  3. Step 3: Cross multiply
    22,480.75x = 33,722.75 × 8,629.75
  4. Step 4: Simplify right side
    22,480.75x = 291,018,901.81
  5. Step 5: Solve for x
    x = 291,018,901.81/22,480.75
  6. Step 6: Final answer
    x = 12,945.25

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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.