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Finding the Fourth Proportional to 13,914, 19,201.41 and 8,325

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Solution

The fourth proportional to 13,914, 19,201.41 and 8,325 is: 11,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914 : 19,201.41 = 8,325 : x
  2. Step 2: Convert to fraction form
    13,914/19,201.41 = 8,325/x
  3. Step 3: Cross multiply
    13,914x = 19,201.41 × 8,325
  4. Step 4: Simplify right side
    13,914x = 159,851,738.25
  5. Step 5: Solve for x
    x = 159,851,738.25/13,914
  6. Step 6: Final answer
    x = 11,488.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.