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Finding the Fourth Proportional to 2,571.32, 3,851.81 and 1,182.71

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Solution

The fourth proportional to 2,571.32, 3,851.81 and 1,182.71 is: 1,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.32 : 3,851.81 = 1,182.71 : x
  2. Step 2: Convert to fraction form
    2,571.32/3,851.81 = 1,182.71/x
  3. Step 3: Cross multiply
    2,571.32x = 3,851.81 × 1,182.71
  4. Step 4: Simplify right side
    2,571.32x = 4,555,577.92
  5. Step 5: Solve for x
    x = 4,555,577.92/2,571.32
  6. Step 6: Final answer
    x = 1,771.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.