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Finding the Fourth Proportional to 1,997.86, 2,759.25 and 1,334.74

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Solution

The fourth proportional to 1,997.86, 2,759.25 and 1,334.74 is: 1,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.86 : 2,759.25 = 1,334.74 : x
  2. Step 2: Convert to fraction form
    1,997.86/2,759.25 = 1,334.74/x
  3. Step 3: Cross multiply
    1,997.86x = 2,759.25 × 1,334.74
  4. Step 4: Simplify right side
    1,997.86x = 3,682,881.35
  5. Step 5: Solve for x
    x = 3,682,881.35/1,997.86
  6. Step 6: Final answer
    x = 1,843.41

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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.