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Finding the Fourth Proportional to 11,928.77, 17,893.11 and 3,163.76

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Solution

The fourth proportional to 11,928.77, 17,893.11 and 3,163.76 is: 4,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.77 : 17,893.11 = 3,163.76 : x
  2. Step 2: Convert to fraction form
    11,928.77/17,893.11 = 3,163.76/x
  3. Step 3: Cross multiply
    11,928.77x = 17,893.11 × 3,163.76
  4. Step 4: Simplify right side
    11,928.77x = 56,609,550.43
  5. Step 5: Solve for x
    x = 56,609,550.43/11,928.77
  6. Step 6: Final answer
    x = 4,745.63

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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.