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Finding the Fourth Proportional to 4,485, 6,189.84 and 2,622

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Solution

The fourth proportional to 4,485, 6,189.84 and 2,622 is: 3,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485 : 6,189.84 = 2,622 : x
  2. Step 2: Convert to fraction form
    4,485/6,189.84 = 2,622/x
  3. Step 3: Cross multiply
    4,485x = 6,189.84 × 2,622
  4. Step 4: Simplify right side
    4,485x = 16,229,760.48
  5. Step 5: Solve for x
    x = 16,229,760.48/4,485
  6. Step 6: Final answer
    x = 3,618.68

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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.