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Finding the Fourth Proportional to 11,077, 16,616.22 and 4,151.68

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Solution

The fourth proportional to 11,077, 16,616.22 and 4,151.68 is: 6,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077 : 16,616.22 = 4,151.68 : x
  2. Step 2: Convert to fraction form
    11,077/16,616.22 = 4,151.68/x
  3. Step 3: Cross multiply
    11,077x = 16,616.22 × 4,151.68
  4. Step 4: Simplify right side
    11,077x = 68,985,228.25
  5. Step 5: Solve for x
    x = 68,985,228.25/11,077
  6. Step 6: Final answer
    x = 6,227.79

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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.