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Finding the Fourth Proportional to 3,203.69, 4,420.94 and 1,787.29

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Solution

The fourth proportional to 3,203.69, 4,420.94 and 1,787.29 is: 2,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.69 : 4,420.94 = 1,787.29 : x
  2. Step 2: Convert to fraction form
    3,203.69/4,420.94 = 1,787.29/x
  3. Step 3: Cross multiply
    3,203.69x = 4,420.94 × 1,787.29
  4. Step 4: Simplify right side
    3,203.69x = 7,901,481.86
  5. Step 5: Solve for x
    x = 7,901,481.86/3,203.69
  6. Step 6: Final answer
    x = 2,466.37

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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.