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Finding the Fourth Proportional to 8,027.94, 11,078.78 and 4,491.12

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Solution

The fourth proportional to 8,027.94, 11,078.78 and 4,491.12 is: 6,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.94 : 11,078.78 = 4,491.12 : x
  2. Step 2: Convert to fraction form
    8,027.94/11,078.78 = 4,491.12/x
  3. Step 3: Cross multiply
    8,027.94x = 11,078.78 × 4,491.12
  4. Step 4: Simplify right side
    8,027.94x = 49,756,107.98
  5. Step 5: Solve for x
    x = 49,756,107.98/8,027.94
  6. Step 6: Final answer
    x = 6,197.87

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