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Finding the Fourth Proportional to 1,998.91, 2,759.26 and 1,572.44

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Solution

The fourth proportional to 1,998.91, 2,759.26 and 1,572.44 is: 2,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.91 : 2,759.26 = 1,572.44 : x
  2. Step 2: Convert to fraction form
    1,998.91/2,759.26 = 1,572.44/x
  3. Step 3: Cross multiply
    1,998.91x = 2,759.26 × 1,572.44
  4. Step 4: Simplify right side
    1,998.91x = 4,338,756.02
  5. Step 5: Solve for x
    x = 4,338,756.02/1,998.91
  6. Step 6: Final answer
    x = 2,170.56

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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.