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Finding the Fourth Proportional to 2,747.67, 4,121.55 and 799.89

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Solution

The fourth proportional to 2,747.67, 4,121.55 and 799.89 is: 1,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.67 : 4,121.55 = 799.89 : x
  2. Step 2: Convert to fraction form
    2,747.67/4,121.55 = 799.89/x
  3. Step 3: Cross multiply
    2,747.67x = 4,121.55 × 799.89
  4. Step 4: Simplify right side
    2,747.67x = 3,296,786.63
  5. Step 5: Solve for x
    x = 3,296,786.63/2,747.67
  6. Step 6: Final answer
    x = 1,199.85

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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.