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Finding the Fourth Proportional to 3,622, 4,998.36 and 1,966

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Solution

The fourth proportional to 3,622, 4,998.36 and 1,966 is: 2,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622 : 4,998.36 = 1,966 : x
  2. Step 2: Convert to fraction form
    3,622/4,998.36 = 1,966/x
  3. Step 3: Cross multiply
    3,622x = 4,998.36 × 1,966
  4. Step 4: Simplify right side
    3,622x = 9,826,775.76
  5. Step 5: Solve for x
    x = 9,826,775.76/3,622
  6. Step 6: Final answer
    x = 2,713.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.