Home / 1,983.82-2,971.38-1,636.36

Finding the Fourth Proportional to 1,983.82, 2,971.38 and 1,636.36

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Solution

The fourth proportional to 1,983.82, 2,971.38 and 1,636.36 is: 2,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.82 : 2,971.38 = 1,636.36 : x
  2. Step 2: Convert to fraction form
    1,983.82/2,971.38 = 1,636.36/x
  3. Step 3: Cross multiply
    1,983.82x = 2,971.38 × 1,636.36
  4. Step 4: Simplify right side
    1,983.82x = 4,862,247.38
  5. Step 5: Solve for x
    x = 4,862,247.38/1,983.82
  6. Step 6: Final answer
    x = 2,450.95

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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.