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Finding the Fourth Proportional to 11,009, 16,514 and 3,218.48

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Solution

The fourth proportional to 11,009, 16,514 and 3,218.48 is: 4,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009 : 16,514 = 3,218.48 : x
  2. Step 2: Convert to fraction form
    11,009/16,514 = 3,218.48/x
  3. Step 3: Cross multiply
    11,009x = 16,514 × 3,218.48
  4. Step 4: Simplify right side
    11,009x = 53,149,978.72
  5. Step 5: Solve for x
    x = 53,149,978.72/11,009
  6. Step 6: Final answer
    x = 4,827.87

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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.