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Finding the Fourth Proportional to 2,619, 3,616.38 and 2,291.22

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Solution

The fourth proportional to 2,619, 3,616.38 and 2,291.22 is: 3,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619 : 3,616.38 = 2,291.22 : x
  2. Step 2: Convert to fraction form
    2,619/3,616.38 = 2,291.22/x
  3. Step 3: Cross multiply
    2,619x = 3,616.38 × 2,291.22
  4. Step 4: Simplify right side
    2,619x = 8,285,922.18
  5. Step 5: Solve for x
    x = 8,285,922.18/2,619
  6. Step 6: Final answer
    x = 3,163.77

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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.