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Finding the Fourth Proportional to 20,891, 31,331.64 and 6,096.80

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Solution

The fourth proportional to 20,891, 31,331.64 and 6,096.80 is: 9,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891 : 31,331.64 = 6,096.80 : x
  2. Step 2: Convert to fraction form
    20,891/31,331.64 = 6,096.80/x
  3. Step 3: Cross multiply
    20,891x = 31,331.64 × 6,096.80
  4. Step 4: Simplify right side
    20,891x = 191,022,742.75
  5. Step 5: Solve for x
    x = 191,022,742.75/20,891
  6. Step 6: Final answer
    x = 9,143.78

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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.