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Finding the Fourth Proportional to 11,891.81, 17,845.92 and 4,100.63

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Solution

The fourth proportional to 11,891.81, 17,845.92 and 4,100.63 is: 6,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 17,845.92 = 4,100.63 : x
  2. Step 2: Convert to fraction form
    11,891.81/17,845.92 = 4,100.63/x
  3. Step 3: Cross multiply
    11,891.81x = 17,845.92 × 4,100.63
  4. Step 4: Simplify right side
    11,891.81x = 73,179,425.70
  5. Step 5: Solve for x
    x = 73,179,425.70/11,891.81
  6. Step 6: Final answer
    x = 6,153.77

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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.