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Finding the Fourth Proportional to 7,129.70, 10,695.70 and 2,198.18

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Solution

The fourth proportional to 7,129.70, 10,695.70 and 2,198.18 is: 3,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.70 : 10,695.70 = 2,198.18 : x
  2. Step 2: Convert to fraction form
    7,129.70/10,695.70 = 2,198.18/x
  3. Step 3: Cross multiply
    7,129.70x = 10,695.70 × 2,198.18
  4. Step 4: Simplify right side
    7,129.70x = 23,511,062.84
  5. Step 5: Solve for x
    x = 23,511,062.84/7,129.70
  6. Step 6: Final answer
    x = 3,297.63

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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.