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Finding the Fourth Proportional to 11,908, 16,420.24 and 8,180.64

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Solution

The fourth proportional to 11,908, 16,420.24 and 8,180.64 is: 11,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908 : 16,420.24 = 8,180.64 : x
  2. Step 2: Convert to fraction form
    11,908/16,420.24 = 8,180.64/x
  3. Step 3: Cross multiply
    11,908x = 16,420.24 × 8,180.64
  4. Step 4: Simplify right side
    11,908x = 134,328,072.15
  5. Step 5: Solve for x
    x = 134,328,072.15/11,908
  6. Step 6: Final answer
    x = 11,280.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.