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Finding the Fourth Proportional to 6,800.77, 10,198.77 and 2,120.19

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Solution

The fourth proportional to 6,800.77, 10,198.77 and 2,120.19 is: 3,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.77 : 10,198.77 = 2,120.19 : x
  2. Step 2: Convert to fraction form
    6,800.77/10,198.77 = 2,120.19/x
  3. Step 3: Cross multiply
    6,800.77x = 10,198.77 × 2,120.19
  4. Step 4: Simplify right side
    6,800.77x = 21,623,330.17
  5. Step 5: Solve for x
    x = 21,623,330.17/6,800.77
  6. Step 6: Final answer
    x = 3,179.54

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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.