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Finding the Fourth Proportional to 20,934, 31,415.40 and 8,622

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Solution

The fourth proportional to 20,934, 31,415.40 and 8,622 is: 12,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 31,415.40 = 8,622 : x
  2. Step 2: Convert to fraction form
    20,934/31,415.40 = 8,622/x
  3. Step 3: Cross multiply
    20,934x = 31,415.40 × 8,622
  4. Step 4: Simplify right side
    20,934x = 270,863,578.80
  5. Step 5: Solve for x
    x = 270,863,578.80/20,934
  6. Step 6: Final answer
    x = 12,938.93

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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.