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Finding the Fourth Proportional to 8,186.24, 12,284.61 and 8,156

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Solution

The fourth proportional to 8,186.24, 12,284.61 and 8,156 is: 12,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.24 : 12,284.61 = 8,156 : x
  2. Step 2: Convert to fraction form
    8,186.24/12,284.61 = 8,156/x
  3. Step 3: Cross multiply
    8,186.24x = 12,284.61 × 8,156
  4. Step 4: Simplify right side
    8,186.24x = 100,193,279.16
  5. Step 5: Solve for x
    x = 100,193,279.16/8,186.24
  6. Step 6: Final answer
    x = 12,239.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.