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Finding the Fourth Proportional to 2,722.07, 4,083.24 and 774.43

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Solution

The fourth proportional to 2,722.07, 4,083.24 and 774.43 is: 1,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.07 : 4,083.24 = 774.43 : x
  2. Step 2: Convert to fraction form
    2,722.07/4,083.24 = 774.43/x
  3. Step 3: Cross multiply
    2,722.07x = 4,083.24 × 774.43
  4. Step 4: Simplify right side
    2,722.07x = 3,162,163.14
  5. Step 5: Solve for x
    x = 3,162,163.14/2,722.07
  6. Step 6: Final answer
    x = 1,161.68

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Why These Related Problems?

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