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Finding the Fourth Proportional to 8,206.68, 12,311.20 and 3,012.14

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Solution

The fourth proportional to 8,206.68, 12,311.20 and 3,012.14 is: 4,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.68 : 12,311.20 = 3,012.14 : x
  2. Step 2: Convert to fraction form
    8,206.68/12,311.20 = 3,012.14/x
  3. Step 3: Cross multiply
    8,206.68x = 12,311.20 × 3,012.14
  4. Step 4: Simplify right side
    8,206.68x = 37,083,057.97
  5. Step 5: Solve for x
    x = 37,083,057.97/8,206.68
  6. Step 6: Final answer
    x = 4,518.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.