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Finding the Fourth Proportional to 5,198.82, 7,797.98 and 1,911.67

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Solution

The fourth proportional to 5,198.82, 7,797.98 and 1,911.67 is: 2,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.82 : 7,797.98 = 1,911.67 : x
  2. Step 2: Convert to fraction form
    5,198.82/7,797.98 = 1,911.67/x
  3. Step 3: Cross multiply
    5,198.82x = 7,797.98 × 1,911.67
  4. Step 4: Simplify right side
    5,198.82x = 14,907,164.43
  5. Step 5: Solve for x
    x = 14,907,164.43/5,198.82
  6. Step 6: Final answer
    x = 2,867.41

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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.