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Finding the Fourth Proportional to 4,147.74, 6,217.49 and 1,680.99

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Solution

The fourth proportional to 4,147.74, 6,217.49 and 1,680.99 is: 2,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.74 : 6,217.49 = 1,680.99 : x
  2. Step 2: Convert to fraction form
    4,147.74/6,217.49 = 1,680.99/x
  3. Step 3: Cross multiply
    4,147.74x = 6,217.49 × 1,680.99
  4. Step 4: Simplify right side
    4,147.74x = 10,451,530.11
  5. Step 5: Solve for x
    x = 10,451,530.11/4,147.74
  6. Step 6: Final answer
    x = 2,519.81

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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.