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Finding the Fourth Proportional to 20,640.42, 30,949.70 and 8,159.94

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Solution

The fourth proportional to 20,640.42, 30,949.70 and 8,159.94 is: 12,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.42 : 30,949.70 = 8,159.94 : x
  2. Step 2: Convert to fraction form
    20,640.42/30,949.70 = 8,159.94/x
  3. Step 3: Cross multiply
    20,640.42x = 30,949.70 × 8,159.94
  4. Step 4: Simplify right side
    20,640.42x = 252,547,654.22
  5. Step 5: Solve for x
    x = 252,547,654.22/20,640.42
  6. Step 6: Final answer
    x = 12,235.59

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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.