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Finding the Fourth Proportional to 7,796.79, 11,687.89 and 2,865.11

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Solution

The fourth proportional to 7,796.79, 11,687.89 and 2,865.11 is: 4,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.79 : 11,687.89 = 2,865.11 : x
  2. Step 2: Convert to fraction form
    7,796.79/11,687.89 = 2,865.11/x
  3. Step 3: Cross multiply
    7,796.79x = 11,687.89 × 2,865.11
  4. Step 4: Simplify right side
    7,796.79x = 33,487,024.92
  5. Step 5: Solve for x
    x = 33,487,024.92/7,796.79
  6. Step 6: Final answer
    x = 4,294.98

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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.