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Finding the Fourth Proportional to 2,723, 3,758.08 and 1,619

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Solution

The fourth proportional to 2,723, 3,758.08 and 1,619 is: 2,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723 : 3,758.08 = 1,619 : x
  2. Step 2: Convert to fraction form
    2,723/3,758.08 = 1,619/x
  3. Step 3: Cross multiply
    2,723x = 3,758.08 × 1,619
  4. Step 4: Simplify right side
    2,723x = 6,084,331.52
  5. Step 5: Solve for x
    x = 6,084,331.52/2,723
  6. Step 6: Final answer
    x = 2,234.42

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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.