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Finding the Fourth Proportional to 3,410.43, 5,115.39 and 911.43

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Solution

The fourth proportional to 3,410.43, 5,115.39 and 911.43 is: 1,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.43 : 5,115.39 = 911.43 : x
  2. Step 2: Convert to fraction form
    3,410.43/5,115.39 = 911.43/x
  3. Step 3: Cross multiply
    3,410.43x = 5,115.39 × 911.43
  4. Step 4: Simplify right side
    3,410.43x = 4,662,319.91
  5. Step 5: Solve for x
    x = 4,662,319.91/3,410.43
  6. Step 6: Final answer
    x = 1,367.08

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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.