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Finding the Fourth Proportional to 5,105.80, 7,654.13 and 2,471.81

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Solution

The fourth proportional to 5,105.80, 7,654.13 and 2,471.81 is: 3,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.80 : 7,654.13 = 2,471.81 : x
  2. Step 2: Convert to fraction form
    5,105.80/7,654.13 = 2,471.81/x
  3. Step 3: Cross multiply
    5,105.80x = 7,654.13 × 2,471.81
  4. Step 4: Simplify right side
    5,105.80x = 18,919,542.72
  5. Step 5: Solve for x
    x = 18,919,542.72/5,105.80
  6. Step 6: Final answer
    x = 3,705.50

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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.