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Finding the Fourth Proportional to 17,138.24, 25,697.80 and 5,288.65

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Solution

The fourth proportional to 17,138.24, 25,697.80 and 5,288.65 is: 7,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.24 : 25,697.80 = 5,288.65 : x
  2. Step 2: Convert to fraction form
    17,138.24/25,697.80 = 5,288.65/x
  3. Step 3: Cross multiply
    17,138.24x = 25,697.80 × 5,288.65
  4. Step 4: Simplify right side
    17,138.24x = 135,906,669.97
  5. Step 5: Solve for x
    x = 135,906,669.97/17,138.24
  6. Step 6: Final answer
    x = 7,930.02

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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.