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Finding the Fourth Proportional to 21,223.75, 31,850.25 and 7,372.75

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Solution

The fourth proportional to 21,223.75, 31,850.25 and 7,372.75 is: 11,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.75 : 31,850.25 = 7,372.75 : x
  2. Step 2: Convert to fraction form
    21,223.75/31,850.25 = 7,372.75/x
  3. Step 3: Cross multiply
    21,223.75x = 31,850.25 × 7,372.75
  4. Step 4: Simplify right side
    21,223.75x = 234,823,930.69
  5. Step 5: Solve for x
    x = 234,823,930.69/21,223.75
  6. Step 6: Final answer
    x = 11,064.21

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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.