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Finding the Fourth Proportional to 2,787.94, 4,182.62 and 1,967.82

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Solution

The fourth proportional to 2,787.94, 4,182.62 and 1,967.82 is: 2,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.94 : 4,182.62 = 1,967.82 : x
  2. Step 2: Convert to fraction form
    2,787.94/4,182.62 = 1,967.82/x
  3. Step 3: Cross multiply
    2,787.94x = 4,182.62 × 1,967.82
  4. Step 4: Simplify right side
    2,787.94x = 8,230,617.76
  5. Step 5: Solve for x
    x = 8,230,617.76/2,787.94
  6. Step 6: Final answer
    x = 2,952.22

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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.