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Finding the Fourth Proportional to 11,298, 15,591.24 and 6,882

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Solution

The fourth proportional to 11,298, 15,591.24 and 6,882 is: 9,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298 : 15,591.24 = 6,882 : x
  2. Step 2: Convert to fraction form
    11,298/15,591.24 = 6,882/x
  3. Step 3: Cross multiply
    11,298x = 15,591.24 × 6,882
  4. Step 4: Simplify right side
    11,298x = 107,298,913.68
  5. Step 5: Solve for x
    x = 107,298,913.68/11,298
  6. Step 6: Final answer
    x = 9,497.16

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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.