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Finding the Fourth Proportional to 20,861.41, 31,296.99 and 6,822.10

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Solution

The fourth proportional to 20,861.41, 31,296.99 and 6,822.10 is: 10,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.41 : 31,296.99 = 6,822.10 : x
  2. Step 2: Convert to fraction form
    20,861.41/31,296.99 = 6,822.10/x
  3. Step 3: Cross multiply
    20,861.41x = 31,296.99 × 6,822.10
  4. Step 4: Simplify right side
    20,861.41x = 213,511,195.48
  5. Step 5: Solve for x
    x = 213,511,195.48/20,861.41
  6. Step 6: Final answer
    x = 10,234.74

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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.