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Finding the Fourth Proportional to 2,787.72, 3,847.20 and 1,609.20

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Solution

The fourth proportional to 2,787.72, 3,847.20 and 1,609.20 is: 2,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.72 : 3,847.20 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    2,787.72/3,847.20 = 1,609.20/x
  3. Step 3: Cross multiply
    2,787.72x = 3,847.20 × 1,609.20
  4. Step 4: Simplify right side
    2,787.72x = 6,190,914.24
  5. Step 5: Solve for x
    x = 6,190,914.24/2,787.72
  6. Step 6: Final answer
    x = 2,220.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.