Home / 2,022.48-2,790-1,433.28

Finding the Fourth Proportional to 2,022.48, 2,790 and 1,433.28

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Solution

The fourth proportional to 2,022.48, 2,790 and 1,433.28 is: 1,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.48 : 2,790 = 1,433.28 : x
  2. Step 2: Convert to fraction form
    2,022.48/2,790 = 1,433.28/x
  3. Step 3: Cross multiply
    2,022.48x = 2,790 × 1,433.28
  4. Step 4: Simplify right side
    2,022.48x = 3,998,851.20
  5. Step 5: Solve for x
    x = 3,998,851.20/2,022.48
  6. Step 6: Final answer
    x = 1,977.20

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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.