Home / 2,022-2,790.33-1,137.80

Finding the Fourth Proportional to 2,022, 2,790.33 and 1,137.80

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Solution

The fourth proportional to 2,022, 2,790.33 and 1,137.80 is: 1,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 2,790.33 = 1,137.80 : x
  2. Step 2: Convert to fraction form
    2,022/2,790.33 = 1,137.80/x
  3. Step 3: Cross multiply
    2,022x = 2,790.33 × 1,137.80
  4. Step 4: Simplify right side
    2,022x = 3,174,837.47
  5. Step 5: Solve for x
    x = 3,174,837.47/2,022
  6. Step 6: Final answer
    x = 1,570.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.