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Finding the Fourth Proportional to 11,864, 17,797.44 and 3,656

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Solution

The fourth proportional to 11,864, 17,797.44 and 3,656 is: 5,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864 : 17,797.44 = 3,656 : x
  2. Step 2: Convert to fraction form
    11,864/17,797.44 = 3,656/x
  3. Step 3: Cross multiply
    11,864x = 17,797.44 × 3,656
  4. Step 4: Simplify right side
    11,864x = 65,067,440.64
  5. Step 5: Solve for x
    x = 65,067,440.64/11,864
  6. Step 6: Final answer
    x = 5,484.44

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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.