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Finding the Fourth Proportional to 6,812, 10,219.43 and 2,131.82

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Solution

The fourth proportional to 6,812, 10,219.43 and 2,131.82 is: 3,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 10,219.43 = 2,131.82 : x
  2. Step 2: Convert to fraction form
    6,812/10,219.43 = 2,131.82/x
  3. Step 3: Cross multiply
    6,812x = 10,219.43 × 2,131.82
  4. Step 4: Simplify right side
    6,812x = 21,785,985.26
  5. Step 5: Solve for x
    x = 21,785,985.26/6,812
  6. Step 6: Final answer
    x = 3,198.18

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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.