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Finding the Fourth Proportional to 3,940.46, 5,909.51 and 3,245.41

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Solution

The fourth proportional to 3,940.46, 5,909.51 and 3,245.41 is: 4,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.46 : 5,909.51 = 3,245.41 : x
  2. Step 2: Convert to fraction form
    3,940.46/5,909.51 = 3,245.41/x
  3. Step 3: Cross multiply
    3,940.46x = 5,909.51 × 3,245.41
  4. Step 4: Simplify right side
    3,940.46x = 19,178,765.11
  5. Step 5: Solve for x
    x = 19,178,765.11/3,940.46
  6. Step 6: Final answer
    x = 4,867.13

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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.