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Finding the Fourth Proportional to 8,462.46, 12,696.30 and 3,786.39

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Solution

The fourth proportional to 8,462.46, 12,696.30 and 3,786.39 is: 5,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.46 : 12,696.30 = 3,786.39 : x
  2. Step 2: Convert to fraction form
    8,462.46/12,696.30 = 3,786.39/x
  3. Step 3: Cross multiply
    8,462.46x = 12,696.30 × 3,786.39
  4. Step 4: Simplify right side
    8,462.46x = 48,073,143.36
  5. Step 5: Solve for x
    x = 48,073,143.36/8,462.46
  6. Step 6: Final answer
    x = 5,680.75

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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.