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Finding the Fourth Proportional to 6,798, 10,198.08 and 3,100.20

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Solution

The fourth proportional to 6,798, 10,198.08 and 3,100.20 is: 4,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798 : 10,198.08 = 3,100.20 : x
  2. Step 2: Convert to fraction form
    6,798/10,198.08 = 3,100.20/x
  3. Step 3: Cross multiply
    6,798x = 10,198.08 × 3,100.20
  4. Step 4: Simplify right side
    6,798x = 31,616,087.62
  5. Step 5: Solve for x
    x = 31,616,087.62/6,798
  6. Step 6: Final answer
    x = 4,650.79

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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.