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Finding the Fourth Proportional to 6,808.54, 10,198.46 and 3,113.88

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Solution

The fourth proportional to 6,808.54, 10,198.46 and 3,113.88 is: 4,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.54 : 10,198.46 = 3,113.88 : x
  2. Step 2: Convert to fraction form
    6,808.54/10,198.46 = 3,113.88/x
  3. Step 3: Cross multiply
    6,808.54x = 10,198.46 × 3,113.88
  4. Step 4: Simplify right side
    6,808.54x = 31,756,765.06
  5. Step 5: Solve for x
    x = 31,756,765.06/6,808.54
  6. Step 6: Final answer
    x = 4,664.25

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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.