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Finding the Fourth Proportional to 2,787.65, 4,179.17 and 2,174.07

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Solution

The fourth proportional to 2,787.65, 4,179.17 and 2,174.07 is: 3,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.65 : 4,179.17 = 2,174.07 : x
  2. Step 2: Convert to fraction form
    2,787.65/4,179.17 = 2,174.07/x
  3. Step 3: Cross multiply
    2,787.65x = 4,179.17 × 2,174.07
  4. Step 4: Simplify right side
    2,787.65x = 9,085,797.25
  5. Step 5: Solve for x
    x = 9,085,797.25/2,787.65
  6. Step 6: Final answer
    x = 3,259.31

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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.