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Finding the Fourth Proportional to 11,609.67, 16,021.68 and 6,829.97

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Solution

The fourth proportional to 11,609.67, 16,021.68 and 6,829.97 is: 9,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.67 : 16,021.68 = 6,829.97 : x
  2. Step 2: Convert to fraction form
    11,609.67/16,021.68 = 6,829.97/x
  3. Step 3: Cross multiply
    11,609.67x = 16,021.68 × 6,829.97
  4. Step 4: Simplify right side
    11,609.67x = 109,427,593.75
  5. Step 5: Solve for x
    x = 109,427,593.75/11,609.67
  6. Step 6: Final answer
    x = 9,425.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.