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Finding the Fourth Proportional to 3,198.88, 4,797.48 and 1,250

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Solution

The fourth proportional to 3,198.88, 4,797.48 and 1,250 is: 1,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.88 : 4,797.48 = 1,250 : x
  2. Step 2: Convert to fraction form
    3,198.88/4,797.48 = 1,250/x
  3. Step 3: Cross multiply
    3,198.88x = 4,797.48 × 1,250
  4. Step 4: Simplify right side
    3,198.88x = 5,996,850.00
  5. Step 5: Solve for x
    x = 5,996,850.00/3,198.88
  6. Step 6: Final answer
    x = 1,874.67

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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.