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Finding the Fourth Proportional to 11,486, 17,229.04 and 3,278

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Solution

The fourth proportional to 11,486, 17,229.04 and 3,278 is: 4,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486 : 17,229.04 = 3,278 : x
  2. Step 2: Convert to fraction form
    11,486/17,229.04 = 3,278/x
  3. Step 3: Cross multiply
    11,486x = 17,229.04 × 3,278
  4. Step 4: Simplify right side
    11,486x = 56,476,793.12
  5. Step 5: Solve for x
    x = 56,476,793.12/11,486
  6. Step 6: Final answer
    x = 4,917.01

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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.