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Finding the Fourth Proportional to 3,777.29, 5,662.39 and 1,310.43

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Solution

The fourth proportional to 3,777.29, 5,662.39 and 1,310.43 is: 1,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.29 : 5,662.39 = 1,310.43 : x
  2. Step 2: Convert to fraction form
    3,777.29/5,662.39 = 1,310.43/x
  3. Step 3: Cross multiply
    3,777.29x = 5,662.39 × 1,310.43
  4. Step 4: Simplify right side
    3,777.29x = 7,420,165.73
  5. Step 5: Solve for x
    x = 7,420,165.73/3,777.29
  6. Step 6: Final answer
    x = 1,964.42

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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.