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Finding the Fourth Proportional to 2,571.71, 3,855.40 and 1,033.79

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Solution

The fourth proportional to 2,571.71, 3,855.40 and 1,033.79 is: 1,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.71 : 3,855.40 = 1,033.79 : x
  2. Step 2: Convert to fraction form
    2,571.71/3,855.40 = 1,033.79/x
  3. Step 3: Cross multiply
    2,571.71x = 3,855.40 × 1,033.79
  4. Step 4: Simplify right side
    2,571.71x = 3,985,652.10
  5. Step 5: Solve for x
    x = 3,985,652.10/2,571.71
  6. Step 6: Final answer
    x = 1,549.81

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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.