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Finding the Fourth Proportional to 12,458.97, 17,183.63 and 7,983.14

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Solution

The fourth proportional to 12,458.97, 17,183.63 and 7,983.14 is: 11,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.97 : 17,183.63 = 7,983.14 : x
  2. Step 2: Convert to fraction form
    12,458.97/17,183.63 = 7,983.14/x
  3. Step 3: Cross multiply
    12,458.97x = 17,183.63 × 7,983.14
  4. Step 4: Simplify right side
    12,458.97x = 137,179,198.16
  5. Step 5: Solve for x
    x = 137,179,198.16/12,458.97
  6. Step 6: Final answer
    x = 11,010.48

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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.