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Finding the Fourth Proportional to 6,812, 10,217.20 and 1,882.08

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Solution

The fourth proportional to 6,812, 10,217.20 and 1,882.08 is: 2,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 10,217.20 = 1,882.08 : x
  2. Step 2: Convert to fraction form
    6,812/10,217.20 = 1,882.08/x
  3. Step 3: Cross multiply
    6,812x = 10,217.20 × 1,882.08
  4. Step 4: Simplify right side
    6,812x = 19,229,587.78
  5. Step 5: Solve for x
    x = 19,229,587.78/6,812
  6. Step 6: Final answer
    x = 2,822.90

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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.