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Finding the Fourth Proportional to 3,806.28, 5,708.61 and 1,208.61

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Solution

The fourth proportional to 3,806.28, 5,708.61 and 1,208.61 is: 1,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.28 : 5,708.61 = 1,208.61 : x
  2. Step 2: Convert to fraction form
    3,806.28/5,708.61 = 1,208.61/x
  3. Step 3: Cross multiply
    3,806.28x = 5,708.61 × 1,208.61
  4. Step 4: Simplify right side
    3,806.28x = 6,899,483.13
  5. Step 5: Solve for x
    x = 6,899,483.13/3,806.28
  6. Step 6: Final answer
    x = 1,812.66

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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.