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Finding the Fourth Proportional to 8,076.81, 11,142.84 and 5,957.38

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Solution

The fourth proportional to 8,076.81, 11,142.84 and 5,957.38 is: 8,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.81 : 11,142.84 = 5,957.38 : x
  2. Step 2: Convert to fraction form
    8,076.81/11,142.84 = 5,957.38/x
  3. Step 3: Cross multiply
    8,076.81x = 11,142.84 × 5,957.38
  4. Step 4: Simplify right side
    8,076.81x = 66,382,146.09
  5. Step 5: Solve for x
    x = 66,382,146.09/8,076.81
  6. Step 6: Final answer
    x = 8,218.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.