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Finding the Fourth Proportional to 1,997.83, 2,754.97 and 1,719

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Solution

The fourth proportional to 1,997.83, 2,754.97 and 1,719 is: 2,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.83 : 2,754.97 = 1,719 : x
  2. Step 2: Convert to fraction form
    1,997.83/2,754.97 = 1,719/x
  3. Step 3: Cross multiply
    1,997.83x = 2,754.97 × 1,719
  4. Step 4: Simplify right side
    1,997.83x = 4,735,793.43
  5. Step 5: Solve for x
    x = 4,735,793.43/1,997.83
  6. Step 6: Final answer
    x = 2,370.47

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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.