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Finding the Fourth Proportional to 1,993.85, 2,751.51 and 1,109.73

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Solution

The fourth proportional to 1,993.85, 2,751.51 and 1,109.73 is: 1,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.85 : 2,751.51 = 1,109.73 : x
  2. Step 2: Convert to fraction form
    1,993.85/2,751.51 = 1,109.73/x
  3. Step 3: Cross multiply
    1,993.85x = 2,751.51 × 1,109.73
  4. Step 4: Simplify right side
    1,993.85x = 3,053,433.19
  5. Step 5: Solve for x
    x = 3,053,433.19/1,993.85
  6. Step 6: Final answer
    x = 1,531.43

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1.5x scale

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.