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Finding the Fourth Proportional to 8,186.84, 12,282.69 and 3,806.90

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Solution

The fourth proportional to 8,186.84, 12,282.69 and 3,806.90 is: 5,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.84 : 12,282.69 = 3,806.90 : x
  2. Step 2: Convert to fraction form
    8,186.84/12,282.69 = 3,806.90/x
  3. Step 3: Cross multiply
    8,186.84x = 12,282.69 × 3,806.90
  4. Step 4: Simplify right side
    8,186.84x = 46,758,972.56
  5. Step 5: Solve for x
    x = 46,758,972.56/8,186.84
  6. Step 6: Final answer
    x = 5,711.48

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1.5x scale

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.