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Finding the Fourth Proportional to 1,787.97, 2,467.56 and 1,002

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Solution

The fourth proportional to 1,787.97, 2,467.56 and 1,002 is: 1,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.97 : 2,467.56 = 1,002 : x
  2. Step 2: Convert to fraction form
    1,787.97/2,467.56 = 1,002/x
  3. Step 3: Cross multiply
    1,787.97x = 2,467.56 × 1,002
  4. Step 4: Simplify right side
    1,787.97x = 2,472,495.12
  5. Step 5: Solve for x
    x = 2,472,495.12/1,787.97
  6. Step 6: Final answer
    x = 1,382.85

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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.