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Finding the Fourth Proportional to 11,786.72, 17,680.07 and 7,407.25

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Solution

The fourth proportional to 11,786.72, 17,680.07 and 7,407.25 is: 11,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.72 : 17,680.07 = 7,407.25 : x
  2. Step 2: Convert to fraction form
    11,786.72/17,680.07 = 7,407.25/x
  3. Step 3: Cross multiply
    11,786.72x = 17,680.07 × 7,407.25
  4. Step 4: Simplify right side
    11,786.72x = 130,960,672.83
  5. Step 5: Solve for x
    x = 130,960,672.83/11,786.72
  6. Step 6: Final answer
    x = 11,110.87

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Similar ratio
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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.