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Finding the Fourth Proportional to 11,006, 16,509 and 3,214.88

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Solution

The fourth proportional to 11,006, 16,509 and 3,214.88 is: 4,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 16,509 = 3,214.88 : x
  2. Step 2: Convert to fraction form
    11,006/16,509 = 3,214.88/x
  3. Step 3: Cross multiply
    11,006x = 16,509 × 3,214.88
  4. Step 4: Simplify right side
    11,006x = 53,074,453.92
  5. Step 5: Solve for x
    x = 53,074,453.92/11,006
  6. Step 6: Final answer
    x = 4,822.32

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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.