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Finding the Fourth Proportional to 11,659.86, 17,489.97 and 6,498.54

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Solution

The fourth proportional to 11,659.86, 17,489.97 and 6,498.54 is: 9,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.86 : 17,489.97 = 6,498.54 : x
  2. Step 2: Convert to fraction form
    11,659.86/17,489.97 = 6,498.54/x
  3. Step 3: Cross multiply
    11,659.86x = 17,489.97 × 6,498.54
  4. Step 4: Simplify right side
    11,659.86x = 113,659,269.64
  5. Step 5: Solve for x
    x = 113,659,269.64/11,659.86
  6. Step 6: Final answer
    x = 9,747.91

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1.5x scale

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.