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Finding the Fourth Proportional to 20,761.34, 31,122.84 and 8,278.34

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Solution

The fourth proportional to 20,761.34, 31,122.84 and 8,278.34 is: 12,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.34 : 31,122.84 = 8,278.34 : x
  2. Step 2: Convert to fraction form
    20,761.34/31,122.84 = 8,278.34/x
  3. Step 3: Cross multiply
    20,761.34x = 31,122.84 × 8,278.34
  4. Step 4: Simplify right side
    20,761.34x = 257,645,451.29
  5. Step 5: Solve for x
    x = 257,645,451.29/20,761.34
  6. Step 6: Final answer
    x = 12,409.87

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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.