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Finding the Fourth Proportional to 3,880.59, 5,812.38 and 2,787.09

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Solution

The fourth proportional to 3,880.59, 5,812.38 and 2,787.09 is: 4,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.59 : 5,812.38 = 2,787.09 : x
  2. Step 2: Convert to fraction form
    3,880.59/5,812.38 = 2,787.09/x
  3. Step 3: Cross multiply
    3,880.59x = 5,812.38 × 2,787.09
  4. Step 4: Simplify right side
    3,880.59x = 16,199,626.17
  5. Step 5: Solve for x
    x = 16,199,626.17/3,880.59
  6. Step 6: Final answer
    x = 4,174.53

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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.