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Finding the Fourth Proportional to 4,800.82, 7,198.77 and 2,201.50

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Solution

The fourth proportional to 4,800.82, 7,198.77 and 2,201.50 is: 3,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.82 : 7,198.77 = 2,201.50 : x
  2. Step 2: Convert to fraction form
    4,800.82/7,198.77 = 2,201.50/x
  3. Step 3: Cross multiply
    4,800.82x = 7,198.77 × 2,201.50
  4. Step 4: Simplify right side
    4,800.82x = 15,848,092.16
  5. Step 5: Solve for x
    x = 15,848,092.16/4,800.82
  6. Step 6: Final answer
    x = 3,301.12

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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.