Home / 3,205.25-4,808.57-984.09

Finding the Fourth Proportional to 3,205.25, 4,808.57 and 984.09

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Solution

The fourth proportional to 3,205.25, 4,808.57 and 984.09 is: 1,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.25 : 4,808.57 = 984.09 : x
  2. Step 2: Convert to fraction form
    3,205.25/4,808.57 = 984.09/x
  3. Step 3: Cross multiply
    3,205.25x = 4,808.57 × 984.09
  4. Step 4: Simplify right side
    3,205.25x = 4,732,065.65
  5. Step 5: Solve for x
    x = 4,732,065.65/3,205.25
  6. Step 6: Final answer
    x = 1,476.35

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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.