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Finding the Fourth Proportional to 11,755.25, 17,621.54 and 3,959.81

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Solution

The fourth proportional to 11,755.25, 17,621.54 and 3,959.81 is: 5,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.25 : 17,621.54 = 3,959.81 : x
  2. Step 2: Convert to fraction form
    11,755.25/17,621.54 = 3,959.81/x
  3. Step 3: Cross multiply
    11,755.25x = 17,621.54 × 3,959.81
  4. Step 4: Simplify right side
    11,755.25x = 69,777,984.46
  5. Step 5: Solve for x
    x = 69,777,984.46/11,755.25
  6. Step 6: Final answer
    x = 5,935.90

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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.