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Finding the Fourth Proportional to 11,129.16, 16,693.74 and 6,747.88

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Solution

The fourth proportional to 11,129.16, 16,693.74 and 6,747.88 is: 10,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.16 : 16,693.74 = 6,747.88 : x
  2. Step 2: Convert to fraction form
    11,129.16/16,693.74 = 6,747.88/x
  3. Step 3: Cross multiply
    11,129.16x = 16,693.74 × 6,747.88
  4. Step 4: Simplify right side
    11,129.16x = 112,647,354.27
  5. Step 5: Solve for x
    x = 112,647,354.27/11,129.16
  6. Step 6: Final answer
    x = 10,121.82

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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.