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Finding the Fourth Proportional to 11,862, 17,786.95 and 3,961.68

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Solution

The fourth proportional to 11,862, 17,786.95 and 3,961.68 is: 5,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 17,786.95 = 3,961.68 : x
  2. Step 2: Convert to fraction form
    11,862/17,786.95 = 3,961.68/x
  3. Step 3: Cross multiply
    11,862x = 17,786.95 × 3,961.68
  4. Step 4: Simplify right side
    11,862x = 70,466,204.08
  5. Step 5: Solve for x
    x = 70,466,204.08/11,862
  6. Step 6: Final answer
    x = 5,940.50

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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.