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Finding the Fourth Proportional to 11,379.54, 17,077 and 3,984.06

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Solution

The fourth proportional to 11,379.54, 17,077 and 3,984.06 is: 5,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.54 : 17,077 = 3,984.06 : x
  2. Step 2: Convert to fraction form
    11,379.54/17,077 = 3,984.06/x
  3. Step 3: Cross multiply
    11,379.54x = 17,077 × 3,984.06
  4. Step 4: Simplify right side
    11,379.54x = 68,035,792.62
  5. Step 5: Solve for x
    x = 68,035,792.62/11,379.54
  6. Step 6: Final answer
    x = 5,978.78

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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.