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Finding the Fourth Proportional to 3,806.22, 5,708.61 and 1,209.18

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Solution

The fourth proportional to 3,806.22, 5,708.61 and 1,209.18 is: 1,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.22 : 5,708.61 = 1,209.18 : x
  2. Step 2: Convert to fraction form
    3,806.22/5,708.61 = 1,209.18/x
  3. Step 3: Cross multiply
    3,806.22x = 5,708.61 × 1,209.18
  4. Step 4: Simplify right side
    3,806.22x = 6,902,737.04
  5. Step 5: Solve for x
    x = 6,902,737.04/3,806.22
  6. Step 6: Final answer
    x = 1,813.54

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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.