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Finding the Fourth Proportional to 5,286.70, 7,932.09 and 3,208.21

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Solution

The fourth proportional to 5,286.70, 7,932.09 and 3,208.21 is: 4,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.70 : 7,932.09 = 3,208.21 : x
  2. Step 2: Convert to fraction form
    5,286.70/7,932.09 = 3,208.21/x
  3. Step 3: Cross multiply
    5,286.70x = 7,932.09 × 3,208.21
  4. Step 4: Simplify right side
    5,286.70x = 25,447,802.66
  5. Step 5: Solve for x
    x = 25,447,802.66/5,286.70
  6. Step 6: Final answer
    x = 4,813.55

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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.