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Finding the Fourth Proportional to 11,634, 17,440.18 and 4,236.78

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Solution

The fourth proportional to 11,634, 17,440.18 and 4,236.78 is: 6,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634 : 17,440.18 = 4,236.78 : x
  2. Step 2: Convert to fraction form
    11,634/17,440.18 = 4,236.78/x
  3. Step 3: Cross multiply
    11,634x = 17,440.18 × 4,236.78
  4. Step 4: Simplify right side
    11,634x = 73,890,205.82
  5. Step 5: Solve for x
    x = 73,890,205.82/11,634
  6. Step 6: Final answer
    x = 6,351.23

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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.