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Finding the Fourth Proportional to 3,203.43, 4,419.92 and 1,787.13

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Solution

The fourth proportional to 3,203.43, 4,419.92 and 1,787.13 is: 2,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.43 : 4,419.92 = 1,787.13 : x
  2. Step 2: Convert to fraction form
    3,203.43/4,419.92 = 1,787.13/x
  3. Step 3: Cross multiply
    3,203.43x = 4,419.92 × 1,787.13
  4. Step 4: Simplify right side
    3,203.43x = 7,898,971.63
  5. Step 5: Solve for x
    x = 7,898,971.63/3,203.43
  6. Step 6: Final answer
    x = 2,465.79

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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.