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Finding the Fourth Proportional to 2,165, 3,247.46 and 704.48

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Solution

The fourth proportional to 2,165, 3,247.46 and 704.48 is: 1,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 3,247.46 = 704.48 : x
  2. Step 2: Convert to fraction form
    2,165/3,247.46 = 704.48/x
  3. Step 3: Cross multiply
    2,165x = 3,247.46 × 704.48
  4. Step 4: Simplify right side
    2,165x = 2,287,770.62
  5. Step 5: Solve for x
    x = 2,287,770.62/2,165
  6. Step 6: Final answer
    x = 1,056.71

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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.