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Finding the Fourth Proportional to 2,571.50, 3,857.79 and 816.28

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Solution

The fourth proportional to 2,571.50, 3,857.79 and 816.28 is: 1,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.50 : 3,857.79 = 816.28 : x
  2. Step 2: Convert to fraction form
    2,571.50/3,857.79 = 816.28/x
  3. Step 3: Cross multiply
    2,571.50x = 3,857.79 × 816.28
  4. Step 4: Simplify right side
    2,571.50x = 3,149,040.29
  5. Step 5: Solve for x
    x = 3,149,040.29/2,571.50
  6. Step 6: Final answer
    x = 1,224.59

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1.5x scale

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.