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Finding the Fourth Proportional to 3,986.36, 5,979.58 and 1,213.48

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Solution

The fourth proportional to 3,986.36, 5,979.58 and 1,213.48 is: 1,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.36 : 5,979.58 = 1,213.48 : x
  2. Step 2: Convert to fraction form
    3,986.36/5,979.58 = 1,213.48/x
  3. Step 3: Cross multiply
    3,986.36x = 5,979.58 × 1,213.48
  4. Step 4: Simplify right side
    3,986.36x = 7,256,100.74
  5. Step 5: Solve for x
    x = 7,256,100.74/3,986.36
  6. Step 6: Final answer
    x = 1,820.23

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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.