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Finding the Fourth Proportional to 3,958, 5,940.56 and 2,011.52

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Solution

The fourth proportional to 3,958, 5,940.56 and 2,011.52 is: 3,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958 : 5,940.56 = 2,011.52 : x
  2. Step 2: Convert to fraction form
    3,958/5,940.56 = 2,011.52/x
  3. Step 3: Cross multiply
    3,958x = 5,940.56 × 2,011.52
  4. Step 4: Simplify right side
    3,958x = 11,949,555.25
  5. Step 5: Solve for x
    x = 11,949,555.25/3,958
  6. Step 6: Final answer
    x = 3,019.09

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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.