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Finding the Fourth Proportional to 3,769.78, 5,202.93 and 2,198.74

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Solution

The fourth proportional to 3,769.78, 5,202.93 and 2,198.74 is: 3,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.78 : 5,202.93 = 2,198.74 : x
  2. Step 2: Convert to fraction form
    3,769.78/5,202.93 = 2,198.74/x
  3. Step 3: Cross multiply
    3,769.78x = 5,202.93 × 2,198.74
  4. Step 4: Simplify right side
    3,769.78x = 11,439,890.31
  5. Step 5: Solve for x
    x = 11,439,890.31/3,769.78
  6. Step 6: Final answer
    x = 3,034.63

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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.