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Finding the Fourth Proportional to 11,817.92, 17,728.80 and 3,608

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Solution

The fourth proportional to 11,817.92, 17,728.80 and 3,608 is: 5,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.92 : 17,728.80 = 3,608 : x
  2. Step 2: Convert to fraction form
    11,817.92/17,728.80 = 3,608/x
  3. Step 3: Cross multiply
    11,817.92x = 17,728.80 × 3,608
  4. Step 4: Simplify right side
    11,817.92x = 63,965,510.40
  5. Step 5: Solve for x
    x = 63,965,510.40/11,817.92
  6. Step 6: Final answer
    x = 5,412.59

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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.