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Finding the Fourth Proportional to 11,991.57, 17,977.04 and 6,722.27

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Solution

The fourth proportional to 11,991.57, 17,977.04 and 6,722.27 is: 10,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.57 : 17,977.04 = 6,722.27 : x
  2. Step 2: Convert to fraction form
    11,991.57/17,977.04 = 6,722.27/x
  3. Step 3: Cross multiply
    11,991.57x = 17,977.04 × 6,722.27
  4. Step 4: Simplify right side
    11,991.57x = 120,846,516.68
  5. Step 5: Solve for x
    x = 120,846,516.68/11,991.57
  6. Step 6: Final answer
    x = 10,077.62

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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.