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Finding the Fourth Proportional to 8,022.49, 12,029.11 and 3,091.49

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Solution

The fourth proportional to 8,022.49, 12,029.11 and 3,091.49 is: 4,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.49 : 12,029.11 = 3,091.49 : x
  2. Step 2: Convert to fraction form
    8,022.49/12,029.11 = 3,091.49/x
  3. Step 3: Cross multiply
    8,022.49x = 12,029.11 × 3,091.49
  4. Step 4: Simplify right side
    8,022.49x = 37,187,873.27
  5. Step 5: Solve for x
    x = 37,187,873.27/8,022.49
  6. Step 6: Final answer
    x = 4,635.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.