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Finding the Fourth Proportional to 25,589, 38,383.50 and 10,997

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Solution

The fourth proportional to 25,589, 38,383.50 and 10,997 is: 16,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589 : 38,383.50 = 10,997 : x
  2. Step 2: Convert to fraction form
    25,589/38,383.50 = 10,997/x
  3. Step 3: Cross multiply
    25,589x = 38,383.50 × 10,997
  4. Step 4: Simplify right side
    25,589x = 422,103,349.50
  5. Step 5: Solve for x
    x = 422,103,349.50/25,589
  6. Step 6: Final answer
    x = 16,495.50

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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.