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Finding the Fourth Proportional to 3,951.49, 5,914.37 and 2,911.08

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Solution

The fourth proportional to 3,951.49, 5,914.37 and 2,911.08 is: 4,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.49 : 5,914.37 = 2,911.08 : x
  2. Step 2: Convert to fraction form
    3,951.49/5,914.37 = 2,911.08/x
  3. Step 3: Cross multiply
    3,951.49x = 5,914.37 × 2,911.08
  4. Step 4: Simplify right side
    3,951.49x = 17,217,160.09
  5. Step 5: Solve for x
    x = 17,217,160.09/3,951.49
  6. Step 6: Final answer
    x = 4,357.14

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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.