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Finding the Fourth Proportional to 11,816, 17,724 and 3,608

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Solution

The fourth proportional to 11,816, 17,724 and 3,608 is: 5,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816 : 17,724 = 3,608 : x
  2. Step 2: Convert to fraction form
    11,816/17,724 = 3,608/x
  3. Step 3: Cross multiply
    11,816x = 17,724 × 3,608
  4. Step 4: Simplify right side
    11,816x = 63,948,192
  5. Step 5: Solve for x
    x = 63,948,192/11,816
  6. Step 6: Final answer
    x = 5,412

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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.