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Finding the Fourth Proportional to 5,198.85, 7,800.09 and 3,248.76

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Solution

The fourth proportional to 5,198.85, 7,800.09 and 3,248.76 is: 4,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.85 : 7,800.09 = 3,248.76 : x
  2. Step 2: Convert to fraction form
    5,198.85/7,800.09 = 3,248.76/x
  3. Step 3: Cross multiply
    5,198.85x = 7,800.09 × 3,248.76
  4. Step 4: Simplify right side
    5,198.85x = 25,340,620.39
  5. Step 5: Solve for x
    x = 25,340,620.39/5,198.85
  6. Step 6: Final answer
    x = 4,874.27

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1.5x scale

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.