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Finding the Fourth Proportional to 22,480.25, 33,722 and 8,629.25

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Solution

The fourth proportional to 22,480.25, 33,722 and 8,629.25 is: 12,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.25 : 33,722 = 8,629.25 : x
  2. Step 2: Convert to fraction form
    22,480.25/33,722 = 8,629.25/x
  3. Step 3: Cross multiply
    22,480.25x = 33,722 × 8,629.25
  4. Step 4: Simplify right side
    22,480.25x = 290,995,568.50
  5. Step 5: Solve for x
    x = 290,995,568.50/22,480.25
  6. Step 6: Final answer
    x = 12,944.50

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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.