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Finding the Fourth Proportional to 11,980.25, 17,943.03 and 10,578.74

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Solution

The fourth proportional to 11,980.25, 17,943.03 and 10,578.74 is: 15,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.25 : 17,943.03 = 10,578.74 : x
  2. Step 2: Convert to fraction form
    11,980.25/17,943.03 = 10,578.74/x
  3. Step 3: Cross multiply
    11,980.25x = 17,943.03 × 10,578.74
  4. Step 4: Simplify right side
    11,980.25x = 189,814,694.04
  5. Step 5: Solve for x
    x = 189,814,694.04/11,980.25
  6. Step 6: Final answer
    x = 15,843.97

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Why These Related Problems?

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