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Finding the Fourth Proportional to 2,787.39, 4,181.25 and 2,005.25

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Solution

The fourth proportional to 2,787.39, 4,181.25 and 2,005.25 is: 3,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.39 : 4,181.25 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    2,787.39/4,181.25 = 2,005.25/x
  3. Step 3: Cross multiply
    2,787.39x = 4,181.25 × 2,005.25
  4. Step 4: Simplify right side
    2,787.39x = 8,384,430.66
  5. Step 5: Solve for x
    x = 8,384,430.66/2,787.39
  6. Step 6: Final answer
    x = 3,007.99

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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.