Home / 1,920.97-2,882.27-1,142.46

Finding the Fourth Proportional to 1,920.97, 2,882.27 and 1,142.46

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Solution

The fourth proportional to 1,920.97, 2,882.27 and 1,142.46 is: 1,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.97 : 2,882.27 = 1,142.46 : x
  2. Step 2: Convert to fraction form
    1,920.97/2,882.27 = 1,142.46/x
  3. Step 3: Cross multiply
    1,920.97x = 2,882.27 × 1,142.46
  4. Step 4: Simplify right side
    1,920.97x = 3,292,878.18
  5. Step 5: Solve for x
    x = 3,292,878.18/1,920.97
  6. Step 6: Final answer
    x = 1,714.17

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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.