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Finding the Fourth Proportional to 2,198, 3,304.56 and 2,015.84

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Solution

The fourth proportional to 2,198, 3,304.56 and 2,015.84 is: 3,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198 : 3,304.56 = 2,015.84 : x
  2. Step 2: Convert to fraction form
    2,198/3,304.56 = 2,015.84/x
  3. Step 3: Cross multiply
    2,198x = 3,304.56 × 2,015.84
  4. Step 4: Simplify right side
    2,198x = 6,661,464.23
  5. Step 5: Solve for x
    x = 6,661,464.23/2,198
  6. Step 6: Final answer
    x = 3,030.69

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Why These Related Problems?

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