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Finding the Fourth Proportional to 8,049.51, 12,074.81 and 2,785.05

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Solution

The fourth proportional to 8,049.51, 12,074.81 and 2,785.05 is: 4,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.51 : 12,074.81 = 2,785.05 : x
  2. Step 2: Convert to fraction form
    8,049.51/12,074.81 = 2,785.05/x
  3. Step 3: Cross multiply
    8,049.51x = 12,074.81 × 2,785.05
  4. Step 4: Simplify right side
    8,049.51x = 33,628,935.67
  5. Step 5: Solve for x
    x = 33,628,935.67/8,049.51
  6. Step 6: Final answer
    x = 4,177.76

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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.