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Finding the Fourth Proportional to 8,486.65, 12,725.11 and 3,286.45

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Solution

The fourth proportional to 8,486.65, 12,725.11 and 3,286.45 is: 4,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.65 : 12,725.11 = 3,286.45 : x
  2. Step 2: Convert to fraction form
    8,486.65/12,725.11 = 3,286.45/x
  3. Step 3: Cross multiply
    8,486.65x = 12,725.11 × 3,286.45
  4. Step 4: Simplify right side
    8,486.65x = 41,820,357.70
  5. Step 5: Solve for x
    x = 41,820,357.70/8,486.65
  6. Step 6: Final answer
    x = 4,927.78

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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.