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Finding the Fourth Proportional to 2,571.84, 3,857.76 and 2,186.28

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Solution

The fourth proportional to 2,571.84, 3,857.76 and 2,186.28 is: 3,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.84 : 3,857.76 = 2,186.28 : x
  2. Step 2: Convert to fraction form
    2,571.84/3,857.76 = 2,186.28/x
  3. Step 3: Cross multiply
    2,571.84x = 3,857.76 × 2,186.28
  4. Step 4: Simplify right side
    2,571.84x = 8,434,143.53
  5. Step 5: Solve for x
    x = 8,434,143.53/2,571.84
  6. Step 6: Final answer
    x = 3,279.42

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Similar ratio
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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.