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Finding the Fourth Proportional to 17,007.57, 25,515 and 7,147.85

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Solution

The fourth proportional to 17,007.57, 25,515 and 7,147.85 is: 10,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.57 : 25,515 = 7,147.85 : x
  2. Step 2: Convert to fraction form
    17,007.57/25,515 = 7,147.85/x
  3. Step 3: Cross multiply
    17,007.57x = 25,515 × 7,147.85
  4. Step 4: Simplify right side
    17,007.57x = 182,377,265.18
  5. Step 5: Solve for x
    x = 182,377,265.18/17,007.57
  6. Step 6: Final answer
    x = 10,723.30

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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.