Home / 1,982.80-2,975.82-1,822.96

Finding the Fourth Proportional to 1,982.80, 2,975.82 and 1,822.96

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Solution

The fourth proportional to 1,982.80, 2,975.82 and 1,822.96 is: 2,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.80 : 2,975.82 = 1,822.96 : x
  2. Step 2: Convert to fraction form
    1,982.80/2,975.82 = 1,822.96/x
  3. Step 3: Cross multiply
    1,982.80x = 2,975.82 × 1,822.96
  4. Step 4: Simplify right side
    1,982.80x = 5,424,800.83
  5. Step 5: Solve for x
    x = 5,424,800.83/1,982.80
  6. Step 6: Final answer
    x = 2,735.93

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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.