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Finding the Fourth Proportional to 11,321.36, 16,978.80 and 3,923.90

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Solution

The fourth proportional to 11,321.36, 16,978.80 and 3,923.90 is: 5,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.36 : 16,978.80 = 3,923.90 : x
  2. Step 2: Convert to fraction form
    11,321.36/16,978.80 = 3,923.90/x
  3. Step 3: Cross multiply
    11,321.36x = 16,978.80 × 3,923.90
  4. Step 4: Simplify right side
    11,321.36x = 66,623,113.32
  5. Step 5: Solve for x
    x = 66,623,113.32/11,321.36
  6. Step 6: Final answer
    x = 5,884.73

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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.