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Finding the Fourth Proportional to 20,665.82, 30,981.21 and 8,194.65

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Solution

The fourth proportional to 20,665.82, 30,981.21 and 8,194.65 is: 12,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.82 : 30,981.21 = 8,194.65 : x
  2. Step 2: Convert to fraction form
    20,665.82/30,981.21 = 8,194.65/x
  3. Step 3: Cross multiply
    20,665.82x = 30,981.21 × 8,194.65
  4. Step 4: Simplify right side
    20,665.82x = 253,880,172.53
  5. Step 5: Solve for x
    x = 253,880,172.53/20,665.82
  6. Step 6: Final answer
    x = 12,285.03

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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.