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Finding the Fourth Proportional to 3,764.86, 5,647.83 and 1,425.72

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Solution

The fourth proportional to 3,764.86, 5,647.83 and 1,425.72 is: 2,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.86 : 5,647.83 = 1,425.72 : x
  2. Step 2: Convert to fraction form
    3,764.86/5,647.83 = 1,425.72/x
  3. Step 3: Cross multiply
    3,764.86x = 5,647.83 × 1,425.72
  4. Step 4: Simplify right side
    3,764.86x = 8,052,224.19
  5. Step 5: Solve for x
    x = 8,052,224.19/3,764.86
  6. Step 6: Final answer
    x = 2,138.78

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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.