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Finding the Fourth Proportional to 5,289.70, 7,936.44 and 3,213.94

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Solution

The fourth proportional to 5,289.70, 7,936.44 and 3,213.94 is: 4,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.70 : 7,936.44 = 3,213.94 : x
  2. Step 2: Convert to fraction form
    5,289.70/7,936.44 = 3,213.94/x
  3. Step 3: Cross multiply
    5,289.70x = 7,936.44 × 3,213.94
  4. Step 4: Simplify right side
    5,289.70x = 25,507,241.97
  5. Step 5: Solve for x
    x = 25,507,241.97/5,289.70
  6. Step 6: Final answer
    x = 4,822.06

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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.