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Finding the Fourth Proportional to 2,181.55, 3,270.39 and 794.63

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Solution

The fourth proportional to 2,181.55, 3,270.39 and 794.63 is: 1,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.55 : 3,270.39 = 794.63 : x
  2. Step 2: Convert to fraction form
    2,181.55/3,270.39 = 794.63/x
  3. Step 3: Cross multiply
    2,181.55x = 3,270.39 × 794.63
  4. Step 4: Simplify right side
    2,181.55x = 2,598,729.68
  5. Step 5: Solve for x
    x = 2,598,729.68/2,181.55
  6. Step 6: Final answer
    x = 1,191.23

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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.