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Finding the Fourth Proportional to 2,773.82, 4,140.87 and 2,571.32

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Solution

The fourth proportional to 2,773.82, 4,140.87 and 2,571.32 is: 3,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.82 : 4,140.87 = 2,571.32 : x
  2. Step 2: Convert to fraction form
    2,773.82/4,140.87 = 2,571.32/x
  3. Step 3: Cross multiply
    2,773.82x = 4,140.87 × 2,571.32
  4. Step 4: Simplify right side
    2,773.82x = 10,647,501.85
  5. Step 5: Solve for x
    x = 10,647,501.85/2,773.82
  6. Step 6: Final answer
    x = 3,838.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.