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Finding the Fourth Proportional to 1,998.52, 2,982.37 and 1,755.55

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Solution

The fourth proportional to 1,998.52, 2,982.37 and 1,755.55 is: 2,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.52 : 2,982.37 = 1,755.55 : x
  2. Step 2: Convert to fraction form
    1,998.52/2,982.37 = 1,755.55/x
  3. Step 3: Cross multiply
    1,998.52x = 2,982.37 × 1,755.55
  4. Step 4: Simplify right side
    1,998.52x = 5,235,693.90
  5. Step 5: Solve for x
    x = 5,235,693.90/1,998.52
  6. Step 6: Final answer
    x = 2,619.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.