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Finding the Fourth Proportional to 3,205.66, 4,805.16 and 1,230.82

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Solution

The fourth proportional to 3,205.66, 4,805.16 and 1,230.82 is: 1,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.66 : 4,805.16 = 1,230.82 : x
  2. Step 2: Convert to fraction form
    3,205.66/4,805.16 = 1,230.82/x
  3. Step 3: Cross multiply
    3,205.66x = 4,805.16 × 1,230.82
  4. Step 4: Simplify right side
    3,205.66x = 5,914,287.03
  5. Step 5: Solve for x
    x = 5,914,287.03/3,205.66
  6. Step 6: Final answer
    x = 1,844.95

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1.5x scale

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.