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Finding the Fourth Proportional to 11,843.22, 17,772.75 and 4,917.72

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Solution

The fourth proportional to 11,843.22, 17,772.75 and 4,917.72 is: 7,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.22 : 17,772.75 = 4,917.72 : x
  2. Step 2: Convert to fraction form
    11,843.22/17,772.75 = 4,917.72/x
  3. Step 3: Cross multiply
    11,843.22x = 17,772.75 × 4,917.72
  4. Step 4: Simplify right side
    11,843.22x = 87,401,408.13
  5. Step 5: Solve for x
    x = 87,401,408.13/11,843.22
  6. Step 6: Final answer
    x = 7,379.87

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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.