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Finding the Fourth Proportional to 7,885.74, 11,821.22 and 2,687.97

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Solution

The fourth proportional to 7,885.74, 11,821.22 and 2,687.97 is: 4,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.74 : 11,821.22 = 2,687.97 : x
  2. Step 2: Convert to fraction form
    7,885.74/11,821.22 = 2,687.97/x
  3. Step 3: Cross multiply
    7,885.74x = 11,821.22 × 2,687.97
  4. Step 4: Simplify right side
    7,885.74x = 31,775,084.72
  5. Step 5: Solve for x
    x = 31,775,084.72/7,885.74
  6. Step 6: Final answer
    x = 4,029.44

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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.