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Finding the Fourth Proportional to 3,198.66, 4,415.32 and 1,872.78

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Solution

The fourth proportional to 3,198.66, 4,415.32 and 1,872.78 is: 2,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.66 : 4,415.32 = 1,872.78 : x
  2. Step 2: Convert to fraction form
    3,198.66/4,415.32 = 1,872.78/x
  3. Step 3: Cross multiply
    3,198.66x = 4,415.32 × 1,872.78
  4. Step 4: Simplify right side
    3,198.66x = 8,268,922.99
  5. Step 5: Solve for x
    x = 8,268,922.99/3,198.66
  6. Step 6: Final answer
    x = 2,585.12

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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.