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Finding the Fourth Proportional to 17,102.25, 25,632.32 and 12,145.05

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Solution

The fourth proportional to 17,102.25, 25,632.32 and 12,145.05 is: 18,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.25 : 25,632.32 = 12,145.05 : x
  2. Step 2: Convert to fraction form
    17,102.25/25,632.32 = 12,145.05/x
  3. Step 3: Cross multiply
    17,102.25x = 25,632.32 × 12,145.05
  4. Step 4: Simplify right side
    17,102.25x = 311,305,747.29
  5. Step 5: Solve for x
    x = 311,305,747.29/17,102.25
  6. Step 6: Final answer
    x = 18,202.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.