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Finding the Fourth Proportional to 3,544.62, 5,313.78 and 1,787.34

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Solution

The fourth proportional to 3,544.62, 5,313.78 and 1,787.34 is: 2,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.62 : 5,313.78 = 1,787.34 : x
  2. Step 2: Convert to fraction form
    3,544.62/5,313.78 = 1,787.34/x
  3. Step 3: Cross multiply
    3,544.62x = 5,313.78 × 1,787.34
  4. Step 4: Simplify right side
    3,544.62x = 9,497,531.55
  5. Step 5: Solve for x
    x = 9,497,531.55/3,544.62
  6. Step 6: Final answer
    x = 2,679.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.