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Finding the Fourth Proportional to 2,571.12, 3,857.20 and 839.28

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Solution

The fourth proportional to 2,571.12, 3,857.20 and 839.28 is: 1,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.12 : 3,857.20 = 839.28 : x
  2. Step 2: Convert to fraction form
    2,571.12/3,857.20 = 839.28/x
  3. Step 3: Cross multiply
    2,571.12x = 3,857.20 × 839.28
  4. Step 4: Simplify right side
    2,571.12x = 3,237,270.82
  5. Step 5: Solve for x
    x = 3,237,270.82/2,571.12
  6. Step 6: Final answer
    x = 1,259.09

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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.