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Finding the Fourth Proportional to 12,182.76, 18,276.83 and 3,863.27

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Solution

The fourth proportional to 12,182.76, 18,276.83 and 3,863.27 is: 5,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.76 : 18,276.83 = 3,863.27 : x
  2. Step 2: Convert to fraction form
    12,182.76/18,276.83 = 3,863.27/x
  3. Step 3: Cross multiply
    12,182.76x = 18,276.83 × 3,863.27
  4. Step 4: Simplify right side
    12,182.76x = 70,608,329.03
  5. Step 5: Solve for x
    x = 70,608,329.03/12,182.76
  6. Step 6: Final answer
    x = 5,795.76

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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.