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Finding the Fourth Proportional to 3,984.88, 5,977.17 and 1,213.48

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Solution

The fourth proportional to 3,984.88, 5,977.17 and 1,213.48 is: 1,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.88 : 5,977.17 = 1,213.48 : x
  2. Step 2: Convert to fraction form
    3,984.88/5,977.17 = 1,213.48/x
  3. Step 3: Cross multiply
    3,984.88x = 5,977.17 × 1,213.48
  4. Step 4: Simplify right side
    3,984.88x = 7,253,176.25
  5. Step 5: Solve for x
    x = 7,253,176.25/3,984.88
  6. Step 6: Final answer
    x = 1,820.17

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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.