Home / 1,983.66-2,974.41-1,010.22

Finding the Fourth Proportional to 1,983.66, 2,974.41 and 1,010.22

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Solution

The fourth proportional to 1,983.66, 2,974.41 and 1,010.22 is: 1,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.66 : 2,974.41 = 1,010.22 : x
  2. Step 2: Convert to fraction form
    1,983.66/2,974.41 = 1,010.22/x
  3. Step 3: Cross multiply
    1,983.66x = 2,974.41 × 1,010.22
  4. Step 4: Simplify right side
    1,983.66x = 3,004,808.47
  5. Step 5: Solve for x
    x = 3,004,808.47/1,983.66
  6. Step 6: Final answer
    x = 1,514.78

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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.