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Finding the Fourth Proportional to 11,713.91, 17,568.90 and 5,138.33

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Solution

The fourth proportional to 11,713.91, 17,568.90 and 5,138.33 is: 7,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.91 : 17,568.90 = 5,138.33 : x
  2. Step 2: Convert to fraction form
    11,713.91/17,568.90 = 5,138.33/x
  3. Step 3: Cross multiply
    11,713.91x = 17,568.90 × 5,138.33
  4. Step 4: Simplify right side
    11,713.91x = 90,274,718.09
  5. Step 5: Solve for x
    x = 90,274,718.09/11,713.91
  6. Step 6: Final answer
    x = 7,706.63

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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.