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Finding the Fourth Proportional to 10,906.40, 16,356 and 3,509.09

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Solution

The fourth proportional to 10,906.40, 16,356 and 3,509.09 is: 5,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.40 : 16,356 = 3,509.09 : x
  2. Step 2: Convert to fraction form
    10,906.40/16,356 = 3,509.09/x
  3. Step 3: Cross multiply
    10,906.40x = 16,356 × 3,509.09
  4. Step 4: Simplify right side
    10,906.40x = 57,394,676.04
  5. Step 5: Solve for x
    x = 57,394,676.04/10,906.40
  6. Step 6: Final answer
    x = 5,262.48

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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.