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Finding the Fourth Proportional to 2,787.62, 4,175.94 and 2,005.76

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Solution

The fourth proportional to 2,787.62, 4,175.94 and 2,005.76 is: 3,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.62 : 4,175.94 = 2,005.76 : x
  2. Step 2: Convert to fraction form
    2,787.62/4,175.94 = 2,005.76/x
  3. Step 3: Cross multiply
    2,787.62x = 4,175.94 × 2,005.76
  4. Step 4: Simplify right side
    2,787.62x = 8,375,933.41
  5. Step 5: Solve for x
    x = 8,375,933.41/2,787.62
  6. Step 6: Final answer
    x = 3,004.69

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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.