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Finding the Fourth Proportional to 3,612.22, 5,419 and 1,146.82

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Solution

The fourth proportional to 3,612.22, 5,419 and 1,146.82 is: 1,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.22 : 5,419 = 1,146.82 : x
  2. Step 2: Convert to fraction form
    3,612.22/5,419 = 1,146.82/x
  3. Step 3: Cross multiply
    3,612.22x = 5,419 × 1,146.82
  4. Step 4: Simplify right side
    3,612.22x = 6,214,617.58
  5. Step 5: Solve for x
    x = 6,214,617.58/3,612.22
  6. Step 6: Final answer
    x = 1,720.44

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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.