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Finding the Fourth Proportional to 11,404, 15,736 and 6,367.68

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Solution

The fourth proportional to 11,404, 15,736 and 6,367.68 is: 8,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404 : 15,736 = 6,367.68 : x
  2. Step 2: Convert to fraction form
    11,404/15,736 = 6,367.68/x
  3. Step 3: Cross multiply
    11,404x = 15,736 × 6,367.68
  4. Step 4: Simplify right side
    11,404x = 100,201,812.48
  5. Step 5: Solve for x
    x = 100,201,812.48/11,404
  6. Step 6: Final answer
    x = 8,786.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.