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Finding the Fourth Proportional to 3,622, 4,998.90 and 2,225.56

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Solution

The fourth proportional to 3,622, 4,998.90 and 2,225.56 is: 3,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622 : 4,998.90 = 2,225.56 : x
  2. Step 2: Convert to fraction form
    3,622/4,998.90 = 2,225.56/x
  3. Step 3: Cross multiply
    3,622x = 4,998.90 × 2,225.56
  4. Step 4: Simplify right side
    3,622x = 11,125,351.88
  5. Step 5: Solve for x
    x = 11,125,351.88/3,622
  6. Step 6: Final answer
    x = 3,071.60

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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.