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Finding the Fourth Proportional to 18,107.25, 24,971.25 and 12,431.97

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Solution

The fourth proportional to 18,107.25, 24,971.25 and 12,431.97 is: 17,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,107.25 : 24,971.25 = 12,431.97 : x
  2. Step 2: Convert to fraction form
    18,107.25/24,971.25 = 12,431.97/x
  3. Step 3: Cross multiply
    18,107.25x = 24,971.25 × 12,431.97
  4. Step 4: Simplify right side
    18,107.25x = 310,441,830.86
  5. Step 5: Solve for x
    x = 310,441,830.86/18,107.25
  6. Step 6: Final answer
    x = 17,144.62

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