Home / 1,682.80-2,321.94-984.04

Finding the Fourth Proportional to 1,682.80, 2,321.94 and 984.04

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Solution

The fourth proportional to 1,682.80, 2,321.94 and 984.04 is: 1,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.80 : 2,321.94 = 984.04 : x
  2. Step 2: Convert to fraction form
    1,682.80/2,321.94 = 984.04/x
  3. Step 3: Cross multiply
    1,682.80x = 2,321.94 × 984.04
  4. Step 4: Simplify right side
    1,682.80x = 2,284,881.84
  5. Step 5: Solve for x
    x = 2,284,881.84/1,682.80
  6. Step 6: Final answer
    x = 1,357.79

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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.