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Finding the Fourth Proportional to 11,631.74, 17,398.31 and 7,891.97

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Solution

The fourth proportional to 11,631.74, 17,398.31 and 7,891.97 is: 11,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.74 : 17,398.31 = 7,891.97 : x
  2. Step 2: Convert to fraction form
    11,631.74/17,398.31 = 7,891.97/x
  3. Step 3: Cross multiply
    11,631.74x = 17,398.31 × 7,891.97
  4. Step 4: Simplify right side
    11,631.74x = 137,306,814.12
  5. Step 5: Solve for x
    x = 137,306,814.12/11,631.74
  6. Step 6: Final answer
    x = 11,804.50

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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.