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Finding the Fourth Proportional to 2,747.34, 4,120.77 and 799.41

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Solution

The fourth proportional to 2,747.34, 4,120.77 and 799.41 is: 1,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.34 : 4,120.77 = 799.41 : x
  2. Step 2: Convert to fraction form
    2,747.34/4,120.77 = 799.41/x
  3. Step 3: Cross multiply
    2,747.34x = 4,120.77 × 799.41
  4. Step 4: Simplify right side
    2,747.34x = 3,294,184.75
  5. Step 5: Solve for x
    x = 3,294,184.75/2,747.34
  6. Step 6: Final answer
    x = 1,199.05

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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.