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Finding the Fourth Proportional to 11,786.60, 16,266.03 and 6,481.61

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Solution

The fourth proportional to 11,786.60, 16,266.03 and 6,481.61 is: 8,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.60 : 16,266.03 = 6,481.61 : x
  2. Step 2: Convert to fraction form
    11,786.60/16,266.03 = 6,481.61/x
  3. Step 3: Cross multiply
    11,786.60x = 16,266.03 × 6,481.61
  4. Step 4: Simplify right side
    11,786.60x = 105,430,062.71
  5. Step 5: Solve for x
    x = 105,430,062.71/11,786.60
  6. Step 6: Final answer
    x = 8,944.91

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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.