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Finding the Fourth Proportional to 11,902, 16,402.11 and 8,716.27

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Solution

The fourth proportional to 11,902, 16,402.11 and 8,716.27 is: 12,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 16,402.11 = 8,716.27 : x
  2. Step 2: Convert to fraction form
    11,902/16,402.11 = 8,716.27/x
  3. Step 3: Cross multiply
    11,902x = 16,402.11 × 8,716.27
  4. Step 4: Simplify right side
    11,902x = 142,965,219.33
  5. Step 5: Solve for x
    x = 142,965,219.33/11,902
  6. Step 6: Final answer
    x = 12,011.87

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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.