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Finding the Fourth Proportional to 11,006.76, 16,490.97 and 9,169.68

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Solution

The fourth proportional to 11,006.76, 16,490.97 and 9,169.68 is: 13,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.76 : 16,490.97 = 9,169.68 : x
  2. Step 2: Convert to fraction form
    11,006.76/16,490.97 = 9,169.68/x
  3. Step 3: Cross multiply
    11,006.76x = 16,490.97 × 9,169.68
  4. Step 4: Simplify right side
    11,006.76x = 151,216,917.79
  5. Step 5: Solve for x
    x = 151,216,917.79/11,006.76
  6. Step 6: Final answer
    x = 13,738.55

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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.