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Finding the Fourth Proportional to 11,686, 17,529.12 and 3,478

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Solution

The fourth proportional to 11,686, 17,529.12 and 3,478 is: 5,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686 : 17,529.12 = 3,478 : x
  2. Step 2: Convert to fraction form
    11,686/17,529.12 = 3,478/x
  3. Step 3: Cross multiply
    11,686x = 17,529.12 × 3,478
  4. Step 4: Simplify right side
    11,686x = 60,966,279.36
  5. Step 5: Solve for x
    x = 60,966,279.36/11,686
  6. Step 6: Final answer
    x = 5,217.04

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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.