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Finding the Fourth Proportional to 3,046.65, 4,205.09 and 1,982.58

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Solution

The fourth proportional to 3,046.65, 4,205.09 and 1,982.58 is: 2,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.65 : 4,205.09 = 1,982.58 : x
  2. Step 2: Convert to fraction form
    3,046.65/4,205.09 = 1,982.58/x
  3. Step 3: Cross multiply
    3,046.65x = 4,205.09 × 1,982.58
  4. Step 4: Simplify right side
    3,046.65x = 8,336,927.33
  5. Step 5: Solve for x
    x = 8,336,927.33/3,046.65
  6. Step 6: Final answer
    x = 2,736.42

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1.5x scale

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.