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Finding the Fourth Proportional to 13,233, 19,850.22 and 3,999.72

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Solution

The fourth proportional to 13,233, 19,850.22 and 3,999.72 is: 5,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233 : 19,850.22 = 3,999.72 : x
  2. Step 2: Convert to fraction form
    13,233/19,850.22 = 3,999.72/x
  3. Step 3: Cross multiply
    13,233x = 19,850.22 × 3,999.72
  4. Step 4: Simplify right side
    13,233x = 79,395,321.94
  5. Step 5: Solve for x
    x = 79,395,321.94/13,233
  6. Step 6: Final answer
    x = 5,999.80

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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.