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Finding the Fourth Proportional to 2,787.44, 4,181.24 and 938.62

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Solution

The fourth proportional to 2,787.44, 4,181.24 and 938.62 is: 1,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.44 : 4,181.24 = 938.62 : x
  2. Step 2: Convert to fraction form
    2,787.44/4,181.24 = 938.62/x
  3. Step 3: Cross multiply
    2,787.44x = 4,181.24 × 938.62
  4. Step 4: Simplify right side
    2,787.44x = 3,924,587.38
  5. Step 5: Solve for x
    x = 3,924,587.38/2,787.44
  6. Step 6: Final answer
    x = 1,407.95

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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.