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Finding the Fourth Proportional to 7,871.96, 11,801.82 and 5,092.76

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Solution

The fourth proportional to 7,871.96, 11,801.82 and 5,092.76 is: 7,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.96 : 11,801.82 = 5,092.76 : x
  2. Step 2: Convert to fraction form
    7,871.96/11,801.82 = 5,092.76/x
  3. Step 3: Cross multiply
    7,871.96x = 11,801.82 × 5,092.76
  4. Step 4: Simplify right side
    7,871.96x = 60,103,836.82
  5. Step 5: Solve for x
    x = 60,103,836.82/7,871.96
  6. Step 6: Final answer
    x = 7,635.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.