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Finding the Fourth Proportional to 22,375.88, 30,884.94 and 12,821.12

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Solution

The fourth proportional to 22,375.88, 30,884.94 and 12,821.12 is: 17,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.88 : 30,884.94 = 12,821.12 : x
  2. Step 2: Convert to fraction form
    22,375.88/30,884.94 = 12,821.12/x
  3. Step 3: Cross multiply
    22,375.88x = 30,884.94 × 12,821.12
  4. Step 4: Simplify right side
    22,375.88x = 395,979,521.93
  5. Step 5: Solve for x
    x = 395,979,521.93/22,375.88
  6. Step 6: Final answer
    x = 17,696.71

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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.