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Finding the Fourth Proportional to 8,206.66, 12,311.79 and 2,660.56

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Solution

The fourth proportional to 8,206.66, 12,311.79 and 2,660.56 is: 3,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.66 : 12,311.79 = 2,660.56 : x
  2. Step 2: Convert to fraction form
    8,206.66/12,311.79 = 2,660.56/x
  3. Step 3: Cross multiply
    8,206.66x = 12,311.79 × 2,660.56
  4. Step 4: Simplify right side
    8,206.66x = 32,756,256.00
  5. Step 5: Solve for x
    x = 32,756,256.00/8,206.66
  6. Step 6: Final answer
    x = 3,991.42

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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.