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Finding the Fourth Proportional to 11,901.86, 17,855.05 and 4,786.64

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Solution

The fourth proportional to 11,901.86, 17,855.05 and 4,786.64 is: 7,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.86 : 17,855.05 = 4,786.64 : x
  2. Step 2: Convert to fraction form
    11,901.86/17,855.05 = 4,786.64/x
  3. Step 3: Cross multiply
    11,901.86x = 17,855.05 × 4,786.64
  4. Step 4: Simplify right side
    11,901.86x = 85,465,729.20
  5. Step 5: Solve for x
    x = 85,465,729.20/11,901.86
  6. Step 6: Final answer
    x = 7,180.87

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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.