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Finding the Fourth Proportional to 20,661.48, 30,978.72 and 8,183.16

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Solution

The fourth proportional to 20,661.48, 30,978.72 and 8,183.16 is: 12,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.48 : 30,978.72 = 8,183.16 : x
  2. Step 2: Convert to fraction form
    20,661.48/30,978.72 = 8,183.16/x
  3. Step 3: Cross multiply
    20,661.48x = 30,978.72 × 8,183.16
  4. Step 4: Simplify right side
    20,661.48x = 253,503,822.36
  5. Step 5: Solve for x
    x = 253,503,822.36/20,661.48
  6. Step 6: Final answer
    x = 12,269.39

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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.