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Finding the Fourth Proportional to 20,504.81, 30,769.32 and 8,657.81

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Solution

The fourth proportional to 20,504.81, 30,769.32 and 8,657.81 is: 12,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.81 : 30,769.32 = 8,657.81 : x
  2. Step 2: Convert to fraction form
    20,504.81/30,769.32 = 8,657.81/x
  3. Step 3: Cross multiply
    20,504.81x = 30,769.32 × 8,657.81
  4. Step 4: Simplify right side
    20,504.81x = 266,394,989.42
  5. Step 5: Solve for x
    x = 266,394,989.42/20,504.81
  6. Step 6: Final answer
    x = 12,991.83

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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.