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Finding the Fourth Proportional to 1,993.49, 2,751.35 and 1,661.39

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Solution

The fourth proportional to 1,993.49, 2,751.35 and 1,661.39 is: 2,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.49 : 2,751.35 = 1,661.39 : x
  2. Step 2: Convert to fraction form
    1,993.49/2,751.35 = 1,661.39/x
  3. Step 3: Cross multiply
    1,993.49x = 2,751.35 × 1,661.39
  4. Step 4: Simplify right side
    1,993.49x = 4,571,057.07
  5. Step 5: Solve for x
    x = 4,571,057.07/1,993.49
  6. Step 6: Final answer
    x = 2,292.99

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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.