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Finding the Fourth Proportional to 22,305.20, 30,781.20 and 12,233.72

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Solution

The fourth proportional to 22,305.20, 30,781.20 and 12,233.72 is: 16,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.20 : 30,781.20 = 12,233.72 : x
  2. Step 2: Convert to fraction form
    22,305.20/30,781.20 = 12,233.72/x
  3. Step 3: Cross multiply
    22,305.20x = 30,781.20 × 12,233.72
  4. Step 4: Simplify right side
    22,305.20x = 376,568,582.06
  5. Step 5: Solve for x
    x = 376,568,582.06/22,305.20
  6. Step 6: Final answer
    x = 16,882.55

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1.5x scale

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.