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Finding the Fourth Proportional to 5,806.11, 8,713.81 and 2,109.41

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Solution

The fourth proportional to 5,806.11, 8,713.81 and 2,109.41 is: 3,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.11 : 8,713.81 = 2,109.41 : x
  2. Step 2: Convert to fraction form
    5,806.11/8,713.81 = 2,109.41/x
  3. Step 3: Cross multiply
    5,806.11x = 8,713.81 × 2,109.41
  4. Step 4: Simplify right side
    5,806.11x = 18,380,989.70
  5. Step 5: Solve for x
    x = 18,380,989.70/5,806.11
  6. Step 6: Final answer
    x = 3,165.80

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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.