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Finding the Fourth Proportional to 3,767.77, 5,200.87 and 2,571.90

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Solution

The fourth proportional to 3,767.77, 5,200.87 and 2,571.90 is: 3,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.77 : 5,200.87 = 2,571.90 : x
  2. Step 2: Convert to fraction form
    3,767.77/5,200.87 = 2,571.90/x
  3. Step 3: Cross multiply
    3,767.77x = 5,200.87 × 2,571.90
  4. Step 4: Simplify right side
    3,767.77x = 13,376,132.93
  5. Step 5: Solve for x
    x = 13,376,132.93/3,767.77
  6. Step 6: Final answer
    x = 3,550.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.