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Finding the Fourth Proportional to 2,166.75, 3,247.83 and 704.70

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Solution

The fourth proportional to 2,166.75, 3,247.83 and 704.70 is: 1,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 3,247.83 = 704.70 : x
  2. Step 2: Convert to fraction form
    2,166.75/3,247.83 = 704.70/x
  3. Step 3: Cross multiply
    2,166.75x = 3,247.83 × 704.70
  4. Step 4: Simplify right side
    2,166.75x = 2,288,745.80
  5. Step 5: Solve for x
    x = 2,288,745.80/2,166.75
  6. Step 6: Final answer
    x = 1,056.30

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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.