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Finding the Fourth Proportional to 2,787.48, 4,181.86 and 938.55

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Solution

The fourth proportional to 2,787.48, 4,181.86 and 938.55 is: 1,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.48 : 4,181.86 = 938.55 : x
  2. Step 2: Convert to fraction form
    2,787.48/4,181.86 = 938.55/x
  3. Step 3: Cross multiply
    2,787.48x = 4,181.86 × 938.55
  4. Step 4: Simplify right side
    2,787.48x = 3,924,863.79
  5. Step 5: Solve for x
    x = 3,924,863.79/2,787.48
  6. Step 6: Final answer
    x = 1,408.03

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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.