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Finding the Fourth Proportional to 8,159.88, 11,255.27 and 6,388.41

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Solution

The fourth proportional to 8,159.88, 11,255.27 and 6,388.41 is: 8,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.88 : 11,255.27 = 6,388.41 : x
  2. Step 2: Convert to fraction form
    8,159.88/11,255.27 = 6,388.41/x
  3. Step 3: Cross multiply
    8,159.88x = 11,255.27 × 6,388.41
  4. Step 4: Simplify right side
    8,159.88x = 71,903,295.39
  5. Step 5: Solve for x
    x = 71,903,295.39/8,159.88
  6. Step 6: Final answer
    x = 8,811.81

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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.