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Finding the Fourth Proportional to 2,987.69, 4,481.53 and 796.42

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Solution

The fourth proportional to 2,987.69, 4,481.53 and 796.42 is: 1,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.69 : 4,481.53 = 796.42 : x
  2. Step 2: Convert to fraction form
    2,987.69/4,481.53 = 796.42/x
  3. Step 3: Cross multiply
    2,987.69x = 4,481.53 × 796.42
  4. Step 4: Simplify right side
    2,987.69x = 3,569,183.73
  5. Step 5: Solve for x
    x = 3,569,183.73/2,987.69
  6. Step 6: Final answer
    x = 1,194.63

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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.