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Finding the Fourth Proportional to 11,974.68, 17,962 and 3,209.40

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Solution

The fourth proportional to 11,974.68, 17,962 and 3,209.40 is: 4,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.68 : 17,962 = 3,209.40 : x
  2. Step 2: Convert to fraction form
    11,974.68/17,962 = 3,209.40/x
  3. Step 3: Cross multiply
    11,974.68x = 17,962 × 3,209.40
  4. Step 4: Simplify right side
    11,974.68x = 57,647,242.80
  5. Step 5: Solve for x
    x = 57,647,242.80/11,974.68
  6. Step 6: Final answer
    x = 4,814.09

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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.