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Finding the Fourth Proportional to 2,861, 4,291.92 and 809

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Solution

The fourth proportional to 2,861, 4,291.92 and 809 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861 : 4,291.92 = 809 : x
  2. Step 2: Convert to fraction form
    2,861/4,291.92 = 809/x
  3. Step 3: Cross multiply
    2,861x = 4,291.92 × 809
  4. Step 4: Simplify right side
    2,861x = 3,472,163.28
  5. Step 5: Solve for x
    x = 3,472,163.28/2,861
  6. Step 6: Final answer
    x = 1,213.62

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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.