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Finding the Fourth Proportional to 3,914.92, 5,858.40 and 3,400.97

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Solution

The fourth proportional to 3,914.92, 5,858.40 and 3,400.97 is: 5,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.92 : 5,858.40 = 3,400.97 : x
  2. Step 2: Convert to fraction form
    3,914.92/5,858.40 = 3,400.97/x
  3. Step 3: Cross multiply
    3,914.92x = 5,858.40 × 3,400.97
  4. Step 4: Simplify right side
    3,914.92x = 19,924,242.65
  5. Step 5: Solve for x
    x = 19,924,242.65/3,914.92
  6. Step 6: Final answer
    x = 5,089.32

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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.