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Finding the Fourth Proportional to 7,729.43, 11,581.76 and 7,524.41

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Solution

The fourth proportional to 7,729.43, 11,581.76 and 7,524.41 is: 11,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.43 : 11,581.76 = 7,524.41 : x
  2. Step 2: Convert to fraction form
    7,729.43/11,581.76 = 7,524.41/x
  3. Step 3: Cross multiply
    7,729.43x = 11,581.76 × 7,524.41
  4. Step 4: Simplify right side
    7,729.43x = 87,145,871.66
  5. Step 5: Solve for x
    x = 87,145,871.66/7,729.43
  6. Step 6: Final answer
    x = 11,274.56

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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.