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Finding the Fourth Proportional to 3,993.69, 5,511.05 and 2,314.97

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Solution

The fourth proportional to 3,993.69, 5,511.05 and 2,314.97 is: 3,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.69 : 5,511.05 = 2,314.97 : x
  2. Step 2: Convert to fraction form
    3,993.69/5,511.05 = 2,314.97/x
  3. Step 3: Cross multiply
    3,993.69x = 5,511.05 × 2,314.97
  4. Step 4: Simplify right side
    3,993.69x = 12,757,915.42
  5. Step 5: Solve for x
    x = 12,757,915.42/3,993.69
  6. Step 6: Final answer
    x = 3,194.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.