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Finding the Fourth Proportional to 2,608.17, 3,909.91 and 1,949.23

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Solution

The fourth proportional to 2,608.17, 3,909.91 and 1,949.23 is: 2,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.17 : 3,909.91 = 1,949.23 : x
  2. Step 2: Convert to fraction form
    2,608.17/3,909.91 = 1,949.23/x
  3. Step 3: Cross multiply
    2,608.17x = 3,909.91 × 1,949.23
  4. Step 4: Simplify right side
    2,608.17x = 7,621,313.87
  5. Step 5: Solve for x
    x = 7,621,313.87/2,608.17
  6. Step 6: Final answer
    x = 2,922.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.