Home / 1,982.57-2,976.77-1,947.58

Finding the Fourth Proportional to 1,982.57, 2,976.77 and 1,947.58

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Solution

The fourth proportional to 1,982.57, 2,976.77 and 1,947.58 is: 2,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.57 : 2,976.77 = 1,947.58 : x
  2. Step 2: Convert to fraction form
    1,982.57/2,976.77 = 1,947.58/x
  3. Step 3: Cross multiply
    1,982.57x = 2,976.77 × 1,947.58
  4. Step 4: Simplify right side
    1,982.57x = 5,797,495.14
  5. Step 5: Solve for x
    x = 5,797,495.14/1,982.57
  6. Step 6: Final answer
    x = 2,924.23

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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.