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Finding the Fourth Proportional to 2,747.22, 4,121.51 and 799.44

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Solution

The fourth proportional to 2,747.22, 4,121.51 and 799.44 is: 1,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.22 : 4,121.51 = 799.44 : x
  2. Step 2: Convert to fraction form
    2,747.22/4,121.51 = 799.44/x
  3. Step 3: Cross multiply
    2,747.22x = 4,121.51 × 799.44
  4. Step 4: Simplify right side
    2,747.22x = 3,294,899.95
  5. Step 5: Solve for x
    x = 3,294,899.95/2,747.22
  6. Step 6: Final answer
    x = 1,199.36

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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.