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Finding the Fourth Proportional to 2,561.76, 3,842.64 and 1,327.86

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Solution

The fourth proportional to 2,561.76, 3,842.64 and 1,327.86 is: 1,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.76 : 3,842.64 = 1,327.86 : x
  2. Step 2: Convert to fraction form
    2,561.76/3,842.64 = 1,327.86/x
  3. Step 3: Cross multiply
    2,561.76x = 3,842.64 × 1,327.86
  4. Step 4: Simplify right side
    2,561.76x = 5,102,487.95
  5. Step 5: Solve for x
    x = 5,102,487.95/2,561.76
  6. Step 6: Final answer
    x = 1,991.79

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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.