Home / 1,983.87-2,969.73-1,636.38

Finding the Fourth Proportional to 1,983.87, 2,969.73 and 1,636.38

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Solution

The fourth proportional to 1,983.87, 2,969.73 and 1,636.38 is: 2,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.87 : 2,969.73 = 1,636.38 : x
  2. Step 2: Convert to fraction form
    1,983.87/2,969.73 = 1,636.38/x
  3. Step 3: Cross multiply
    1,983.87x = 2,969.73 × 1,636.38
  4. Step 4: Simplify right side
    1,983.87x = 4,859,606.78
  5. Step 5: Solve for x
    x = 4,859,606.78/1,983.87
  6. Step 6: Final answer
    x = 2,449.56

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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.