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Finding the Fourth Proportional to 2,721.99, 4,083 and 774.21

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Solution

The fourth proportional to 2,721.99, 4,083 and 774.21 is: 1,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.99 : 4,083 = 774.21 : x
  2. Step 2: Convert to fraction form
    2,721.99/4,083 = 774.21/x
  3. Step 3: Cross multiply
    2,721.99x = 4,083 × 774.21
  4. Step 4: Simplify right side
    2,721.99x = 3,161,099.43
  5. Step 5: Solve for x
    x = 3,161,099.43/2,721.99
  6. Step 6: Final answer
    x = 1,161.32

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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.