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Finding the Fourth Proportional to 8,761.56, 13,127.76 and 3,823.80

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Solution

The fourth proportional to 8,761.56, 13,127.76 and 3,823.80 is: 5,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.56 : 13,127.76 = 3,823.80 : x
  2. Step 2: Convert to fraction form
    8,761.56/13,127.76 = 3,823.80/x
  3. Step 3: Cross multiply
    8,761.56x = 13,127.76 × 3,823.80
  4. Step 4: Simplify right side
    8,761.56x = 50,197,928.69
  5. Step 5: Solve for x
    x = 50,197,928.69/8,761.56
  6. Step 6: Final answer
    x = 5,729.34

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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.