Home / 3,984.50-5,976.75-1,645.83

Finding the Fourth Proportional to 3,984.50, 5,976.75 and 1,645.83

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Solution

The fourth proportional to 3,984.50, 5,976.75 and 1,645.83 is: 2,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.50 : 5,976.75 = 1,645.83 : x
  2. Step 2: Convert to fraction form
    3,984.50/5,976.75 = 1,645.83/x
  3. Step 3: Cross multiply
    3,984.50x = 5,976.75 × 1,645.83
  4. Step 4: Simplify right side
    3,984.50x = 9,836,714.45
  5. Step 5: Solve for x
    x = 9,836,714.45/3,984.50
  6. Step 6: Final answer
    x = 2,468.75

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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.