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Finding the Fourth Proportional to 7,891.68, 11,837.34 and 1,968.54

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Solution

The fourth proportional to 7,891.68, 11,837.34 and 1,968.54 is: 2,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.68 : 11,837.34 = 1,968.54 : x
  2. Step 2: Convert to fraction form
    7,891.68/11,837.34 = 1,968.54/x
  3. Step 3: Cross multiply
    7,891.68x = 11,837.34 × 1,968.54
  4. Step 4: Simplify right side
    7,891.68x = 23,302,277.28
  5. Step 5: Solve for x
    x = 23,302,277.28/7,891.68
  6. Step 6: Final answer
    x = 2,952.77

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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.