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Finding the Fourth Proportional to 8,615.64, 11,876.11 and 7,204

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Solution

The fourth proportional to 8,615.64, 11,876.11 and 7,204 is: 9,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.64 : 11,876.11 = 7,204 : x
  2. Step 2: Convert to fraction form
    8,615.64/11,876.11 = 7,204/x
  3. Step 3: Cross multiply
    8,615.64x = 11,876.11 × 7,204
  4. Step 4: Simplify right side
    8,615.64x = 85,555,496.44
  5. Step 5: Solve for x
    x = 85,555,496.44/8,615.64
  6. Step 6: Final answer
    x = 9,930.25

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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.