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Finding the Fourth Proportional to 2,721.85, 4,083.38 and 774.07

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Solution

The fourth proportional to 2,721.85, 4,083.38 and 774.07 is: 1,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.85 : 4,083.38 = 774.07 : x
  2. Step 2: Convert to fraction form
    2,721.85/4,083.38 = 774.07/x
  3. Step 3: Cross multiply
    2,721.85x = 4,083.38 × 774.07
  4. Step 4: Simplify right side
    2,721.85x = 3,160,821.96
  5. Step 5: Solve for x
    x = 3,160,821.96/2,721.85
  6. Step 6: Final answer
    x = 1,161.28

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1.5x scale

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.