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Finding the Fourth Proportional to 10,900, 16,324 and 6,273.28

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Solution

The fourth proportional to 10,900, 16,324 and 6,273.28 is: 9,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900 : 16,324 = 6,273.28 : x
  2. Step 2: Convert to fraction form
    10,900/16,324 = 6,273.28/x
  3. Step 3: Cross multiply
    10,900x = 16,324 × 6,273.28
  4. Step 4: Simplify right side
    10,900x = 102,405,022.72
  5. Step 5: Solve for x
    x = 102,405,022.72/10,900
  6. Step 6: Final answer
    x = 9,394.96

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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.