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Finding the Fourth Proportional to 3,986.58, 5,979.81 and 1,213.14

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Solution

The fourth proportional to 3,986.58, 5,979.81 and 1,213.14 is: 1,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.58 : 5,979.81 = 1,213.14 : x
  2. Step 2: Convert to fraction form
    3,986.58/5,979.81 = 1,213.14/x
  3. Step 3: Cross multiply
    3,986.58x = 5,979.81 × 1,213.14
  4. Step 4: Simplify right side
    3,986.58x = 7,254,346.70
  5. Step 5: Solve for x
    x = 7,254,346.70/3,986.58
  6. Step 6: Final answer
    x = 1,819.69

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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.