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Finding the Fourth Proportional to 5,343.81, 8,012.75 and 3,863.61

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Solution

The fourth proportional to 5,343.81, 8,012.75 and 3,863.61 is: 5,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.81 : 8,012.75 = 3,863.61 : x
  2. Step 2: Convert to fraction form
    5,343.81/8,012.75 = 3,863.61/x
  3. Step 3: Cross multiply
    5,343.81x = 8,012.75 × 3,863.61
  4. Step 4: Simplify right side
    5,343.81x = 30,958,121.71
  5. Step 5: Solve for x
    x = 30,958,121.71/5,343.81
  6. Step 6: Final answer
    x = 5,793.27

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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.