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Finding the Fourth Proportional to 3,203.92, 4,420.98 and 1,787.56

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Solution

The fourth proportional to 3,203.92, 4,420.98 and 1,787.56 is: 2,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.92 : 4,420.98 = 1,787.56 : x
  2. Step 2: Convert to fraction form
    3,203.92/4,420.98 = 1,787.56/x
  3. Step 3: Cross multiply
    3,203.92x = 4,420.98 × 1,787.56
  4. Step 4: Simplify right side
    3,203.92x = 7,902,767.01
  5. Step 5: Solve for x
    x = 7,902,767.01/3,203.92
  6. Step 6: Final answer
    x = 2,466.59

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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.