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Finding the Fourth Proportional to 11,640.70, 16,065.74 and 11,324.09

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Solution

The fourth proportional to 11,640.70, 16,065.74 and 11,324.09 is: 15,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.70 : 16,065.74 = 11,324.09 : x
  2. Step 2: Convert to fraction form
    11,640.70/16,065.74 = 11,324.09/x
  3. Step 3: Cross multiply
    11,640.70x = 16,065.74 × 11,324.09
  4. Step 4: Simplify right side
    11,640.70x = 181,929,954.15
  5. Step 5: Solve for x
    x = 181,929,954.15/11,640.70
  6. Step 6: Final answer
    x = 15,628.78

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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.