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Finding the Fourth Proportional to 2,787.43, 4,181.55 and 938.74

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Solution

The fourth proportional to 2,787.43, 4,181.55 and 938.74 is: 1,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.43 : 4,181.55 = 938.74 : x
  2. Step 2: Convert to fraction form
    2,787.43/4,181.55 = 938.74/x
  3. Step 3: Cross multiply
    2,787.43x = 4,181.55 × 938.74
  4. Step 4: Simplify right side
    2,787.43x = 3,925,388.25
  5. Step 5: Solve for x
    x = 3,925,388.25/2,787.43
  6. Step 6: Final answer
    x = 1,408.25

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1.5x scale

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.