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Finding the Fourth Proportional to 3,840.52, 5,760.78 and 1,787.08

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Solution

The fourth proportional to 3,840.52, 5,760.78 and 1,787.08 is: 2,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.52 : 5,760.78 = 1,787.08 : x
  2. Step 2: Convert to fraction form
    3,840.52/5,760.78 = 1,787.08/x
  3. Step 3: Cross multiply
    3,840.52x = 5,760.78 × 1,787.08
  4. Step 4: Simplify right side
    3,840.52x = 10,294,974.72
  5. Step 5: Solve for x
    x = 10,294,974.72/3,840.52
  6. Step 6: Final answer
    x = 2,680.62

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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.