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Finding the Fourth Proportional to 3,261.80, 4,892.72 and 796.64

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Solution

The fourth proportional to 3,261.80, 4,892.72 and 796.64 is: 1,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.80 : 4,892.72 = 796.64 : x
  2. Step 2: Convert to fraction form
    3,261.80/4,892.72 = 796.64/x
  3. Step 3: Cross multiply
    3,261.80x = 4,892.72 × 796.64
  4. Step 4: Simplify right side
    3,261.80x = 3,897,736.46
  5. Step 5: Solve for x
    x = 3,897,736.46/3,261.80
  6. Step 6: Final answer
    x = 1,194.96

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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.