Home / 1,981.97-2,735.19-1,097.75

Finding the Fourth Proportional to 1,981.97, 2,735.19 and 1,097.75

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Solution

The fourth proportional to 1,981.97, 2,735.19 and 1,097.75 is: 1,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.97 : 2,735.19 = 1,097.75 : x
  2. Step 2: Convert to fraction form
    1,981.97/2,735.19 = 1,097.75/x
  3. Step 3: Cross multiply
    1,981.97x = 2,735.19 × 1,097.75
  4. Step 4: Simplify right side
    1,981.97x = 3,002,564.75
  5. Step 5: Solve for x
    x = 3,002,564.75/1,981.97
  6. Step 6: Final answer
    x = 1,514.94

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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.