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Finding the Fourth Proportional to 5,092.80, 7,644.60 and 2,905.80

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Solution

The fourth proportional to 5,092.80, 7,644.60 and 2,905.80 is: 4,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.80 : 7,644.60 = 2,905.80 : x
  2. Step 2: Convert to fraction form
    5,092.80/7,644.60 = 2,905.80/x
  3. Step 3: Cross multiply
    5,092.80x = 7,644.60 × 2,905.80
  4. Step 4: Simplify right side
    5,092.80x = 22,213,678.68
  5. Step 5: Solve for x
    x = 22,213,678.68/5,092.80
  6. Step 6: Final answer
    x = 4,361.78

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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.