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Finding the Fourth Proportional to 2,787.88, 4,181.82 and 2,023.24

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Solution

The fourth proportional to 2,787.88, 4,181.82 and 2,023.24 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.88 : 4,181.82 = 2,023.24 : x
  2. Step 2: Convert to fraction form
    2,787.88/4,181.82 = 2,023.24/x
  3. Step 3: Cross multiply
    2,787.88x = 4,181.82 × 2,023.24
  4. Step 4: Simplify right side
    2,787.88x = 8,460,825.50
  5. Step 5: Solve for x
    x = 8,460,825.50/2,787.88
  6. Step 6: Final answer
    x = 3,034.86

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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.