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Finding the Fourth Proportional to 2,787.28, 4,181.10 and 938.68

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Solution

The fourth proportional to 2,787.28, 4,181.10 and 938.68 is: 1,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.28 : 4,181.10 = 938.68 : x
  2. Step 2: Convert to fraction form
    2,787.28/4,181.10 = 938.68/x
  3. Step 3: Cross multiply
    2,787.28x = 4,181.10 × 938.68
  4. Step 4: Simplify right side
    2,787.28x = 3,924,714.95
  5. Step 5: Solve for x
    x = 3,924,714.95/2,787.28
  6. Step 6: Final answer
    x = 1,408.08

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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.