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Finding the Fourth Proportional to 6,798, 10,198.80 and 2,181.12

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Solution

The fourth proportional to 6,798, 10,198.80 and 2,181.12 is: 3,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798 : 10,198.80 = 2,181.12 : x
  2. Step 2: Convert to fraction form
    6,798/10,198.80 = 2,181.12/x
  3. Step 3: Cross multiply
    6,798x = 10,198.80 × 2,181.12
  4. Step 4: Simplify right side
    6,798x = 22,244,806.66
  5. Step 5: Solve for x
    x = 22,244,806.66/6,798
  6. Step 6: Final answer
    x = 3,272.26

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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.