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Finding the Fourth Proportional to 2,571.68, 3,857.19 and 816.85

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Solution

The fourth proportional to 2,571.68, 3,857.19 and 816.85 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.68 : 3,857.19 = 816.85 : x
  2. Step 2: Convert to fraction form
    2,571.68/3,857.19 = 816.85/x
  3. Step 3: Cross multiply
    2,571.68x = 3,857.19 × 816.85
  4. Step 4: Simplify right side
    2,571.68x = 3,150,747.41
  5. Step 5: Solve for x
    x = 3,150,747.41/2,571.68
  6. Step 6: Final answer
    x = 1,225.17

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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.