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Finding the Fourth Proportional to 11,761.78, 17,644.11 and 3,968.50

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Solution

The fourth proportional to 11,761.78, 17,644.11 and 3,968.50 is: 5,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.78 : 17,644.11 = 3,968.50 : x
  2. Step 2: Convert to fraction form
    11,761.78/17,644.11 = 3,968.50/x
  3. Step 3: Cross multiply
    11,761.78x = 17,644.11 × 3,968.50
  4. Step 4: Simplify right side
    11,761.78x = 70,020,650.54
  5. Step 5: Solve for x
    x = 70,020,650.54/11,761.78
  6. Step 6: Final answer
    x = 5,953.24

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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.