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Finding the Fourth Proportional to 7,761.66, 11,638.24 and 3,076.93

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Solution

The fourth proportional to 7,761.66, 11,638.24 and 3,076.93 is: 4,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.66 : 11,638.24 = 3,076.93 : x
  2. Step 2: Convert to fraction form
    7,761.66/11,638.24 = 3,076.93/x
  3. Step 3: Cross multiply
    7,761.66x = 11,638.24 × 3,076.93
  4. Step 4: Simplify right side
    7,761.66x = 35,810,049.80
  5. Step 5: Solve for x
    x = 35,810,049.80/7,761.66
  6. Step 6: Final answer
    x = 4,613.71

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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.