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Finding the Fourth Proportional to 13,908.88, 20,839.01 and 11,583.86

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Solution

The fourth proportional to 13,908.88, 20,839.01 and 11,583.86 is: 17,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.88 : 20,839.01 = 11,583.86 : x
  2. Step 2: Convert to fraction form
    13,908.88/20,839.01 = 11,583.86/x
  3. Step 3: Cross multiply
    13,908.88x = 20,839.01 × 11,583.86
  4. Step 4: Simplify right side
    13,908.88x = 241,396,174.38
  5. Step 5: Solve for x
    x = 241,396,174.38/13,908.88
  6. Step 6: Final answer
    x = 17,355.54

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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.