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Finding the Fourth Proportional to 3,900.49, 5,836.75 and 3,639.80

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Solution

The fourth proportional to 3,900.49, 5,836.75 and 3,639.80 is: 5,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.49 : 5,836.75 = 3,639.80 : x
  2. Step 2: Convert to fraction form
    3,900.49/5,836.75 = 3,639.80/x
  3. Step 3: Cross multiply
    3,900.49x = 5,836.75 × 3,639.80
  4. Step 4: Simplify right side
    3,900.49x = 21,244,602.65
  5. Step 5: Solve for x
    x = 21,244,602.65/3,900.49
  6. Step 6: Final answer
    x = 5,446.65

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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.