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Finding the Fourth Proportional to 7,891.73, 11,837.54 and 1,968.57

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Solution

The fourth proportional to 7,891.73, 11,837.54 and 1,968.57 is: 2,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.73 : 11,837.54 = 1,968.57 : x
  2. Step 2: Convert to fraction form
    7,891.73/11,837.54 = 1,968.57/x
  3. Step 3: Cross multiply
    7,891.73x = 11,837.54 × 1,968.57
  4. Step 4: Simplify right side
    7,891.73x = 23,303,016.27
  5. Step 5: Solve for x
    x = 23,303,016.27/7,891.73
  6. Step 6: Final answer
    x = 2,952.84

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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.