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Finding the Fourth Proportional to 3,203.63, 4,420.58 and 1,787.15

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Solution

The fourth proportional to 3,203.63, 4,420.58 and 1,787.15 is: 2,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.63 : 4,420.58 = 1,787.15 : x
  2. Step 2: Convert to fraction form
    3,203.63/4,420.58 = 1,787.15/x
  3. Step 3: Cross multiply
    3,203.63x = 4,420.58 × 1,787.15
  4. Step 4: Simplify right side
    3,203.63x = 7,900,241.66
  5. Step 5: Solve for x
    x = 7,900,241.66/3,203.63
  6. Step 6: Final answer
    x = 2,466.03

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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.