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Finding the Fourth Proportional to 8,049.50, 12,076.76 and 3,610.88

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Solution

The fourth proportional to 8,049.50, 12,076.76 and 3,610.88 is: 5,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.50 : 12,076.76 = 3,610.88 : x
  2. Step 2: Convert to fraction form
    8,049.50/12,076.76 = 3,610.88/x
  3. Step 3: Cross multiply
    8,049.50x = 12,076.76 × 3,610.88
  4. Step 4: Simplify right side
    8,049.50x = 43,607,731.15
  5. Step 5: Solve for x
    x = 43,607,731.15/8,049.50
  6. Step 6: Final answer
    x = 5,417.45

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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.