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Finding the Fourth Proportional to 2,747.42, 4,120.56 and 799.64

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Solution

The fourth proportional to 2,747.42, 4,120.56 and 799.64 is: 1,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.42 : 4,120.56 = 799.64 : x
  2. Step 2: Convert to fraction form
    2,747.42/4,120.56 = 799.64/x
  3. Step 3: Cross multiply
    2,747.42x = 4,120.56 × 799.64
  4. Step 4: Simplify right side
    2,747.42x = 3,294,964.60
  5. Step 5: Solve for x
    x = 3,294,964.60/2,747.42
  6. Step 6: Final answer
    x = 1,199.29

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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.