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Finding the Fourth Proportional to 2,787.78, 3,847.56 and 1,609.22

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Solution

The fourth proportional to 2,787.78, 3,847.56 and 1,609.22 is: 2,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.78 : 3,847.56 = 1,609.22 : x
  2. Step 2: Convert to fraction form
    2,787.78/3,847.56 = 1,609.22/x
  3. Step 3: Cross multiply
    2,787.78x = 3,847.56 × 1,609.22
  4. Step 4: Simplify right side
    2,787.78x = 6,191,570.50
  5. Step 5: Solve for x
    x = 6,191,570.50/2,787.78
  6. Step 6: Final answer
    x = 2,220.97

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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.