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Finding the Fourth Proportional to 4,882.77, 6,738.71 and 2,787.21

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Solution

The fourth proportional to 4,882.77, 6,738.71 and 2,787.21 is: 3,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.77 : 6,738.71 = 2,787.21 : x
  2. Step 2: Convert to fraction form
    4,882.77/6,738.71 = 2,787.21/x
  3. Step 3: Cross multiply
    4,882.77x = 6,738.71 × 2,787.21
  4. Step 4: Simplify right side
    4,882.77x = 18,782,185.96
  5. Step 5: Solve for x
    x = 18,782,185.96/4,882.77
  6. Step 6: Final answer
    x = 3,846.63

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