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Finding the Fourth Proportional to 2,987.95, 4,481.93 and 796.57

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Solution

The fourth proportional to 2,987.95, 4,481.93 and 796.57 is: 1,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.95 : 4,481.93 = 796.57 : x
  2. Step 2: Convert to fraction form
    2,987.95/4,481.93 = 796.57/x
  3. Step 3: Cross multiply
    2,987.95x = 4,481.93 × 796.57
  4. Step 4: Simplify right side
    2,987.95x = 3,570,170.98
  5. Step 5: Solve for x
    x = 3,570,170.98/2,987.95
  6. Step 6: Final answer
    x = 1,194.86

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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.