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Finding the Fourth Proportional to 1,993.08, 2,750.41 and 1,096.78

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Solution

The fourth proportional to 1,993.08, 2,750.41 and 1,096.78 is: 1,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.08 : 2,750.41 = 1,096.78 : x
  2. Step 2: Convert to fraction form
    1,993.08/2,750.41 = 1,096.78/x
  3. Step 3: Cross multiply
    1,993.08x = 2,750.41 × 1,096.78
  4. Step 4: Simplify right side
    1,993.08x = 3,016,594.68
  5. Step 5: Solve for x
    x = 3,016,594.68/1,993.08
  6. Step 6: Final answer
    x = 1,513.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.