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Finding the Fourth Proportional to 20,077, 27,706.66 and 11,694.04

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Solution

The fourth proportional to 20,077, 27,706.66 and 11,694.04 is: 16,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077 : 27,706.66 = 11,694.04 : x
  2. Step 2: Convert to fraction form
    20,077/27,706.66 = 11,694.04/x
  3. Step 3: Cross multiply
    20,077x = 27,706.66 × 11,694.04
  4. Step 4: Simplify right side
    20,077x = 324,002,790.31
  5. Step 5: Solve for x
    x = 324,002,790.31/20,077
  6. Step 6: Final answer
    x = 16,138.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.