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Finding the Fourth Proportional to 2,855.97, 4,305 and 2,619

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Solution

The fourth proportional to 2,855.97, 4,305 and 2,619 is: 3,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.97 : 4,305 = 2,619 : x
  2. Step 2: Convert to fraction form
    2,855.97/4,305 = 2,619/x
  3. Step 3: Cross multiply
    2,855.97x = 4,305 × 2,619
  4. Step 4: Simplify right side
    2,855.97x = 11,274,795
  5. Step 5: Solve for x
    x = 11,274,795/2,855.97
  6. Step 6: Final answer
    x = 3,947.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.