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Finding the Fourth Proportional to 2,571.00, 3,856.01 and 1,253.43

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Solution

The fourth proportional to 2,571.00, 3,856.01 and 1,253.43 is: 1,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.00 : 3,856.01 = 1,253.43 : x
  2. Step 2: Convert to fraction form
    2,571.00/3,856.01 = 1,253.43/x
  3. Step 3: Cross multiply
    2,571.00x = 3,856.01 × 1,253.43
  4. Step 4: Simplify right side
    2,571.00x = 4,833,213.07
  5. Step 5: Solve for x
    x = 4,833,213.07/2,571.00
  6. Step 6: Final answer
    x = 1,879.90

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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.