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Finding the Fourth Proportional to 11,591.09, 15,995.81 and 6,286

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Solution

The fourth proportional to 11,591.09, 15,995.81 and 6,286 is: 8,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.09 : 15,995.81 = 6,286 : x
  2. Step 2: Convert to fraction form
    11,591.09/15,995.81 = 6,286/x
  3. Step 3: Cross multiply
    11,591.09x = 15,995.81 × 6,286
  4. Step 4: Simplify right side
    11,591.09x = 100,549,661.66
  5. Step 5: Solve for x
    x = 100,549,661.66/11,591.09
  6. Step 6: Final answer
    x = 8,674.74

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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.