Home / 1,981.74-2,734.68-1,097.49

Finding the Fourth Proportional to 1,981.74, 2,734.68 and 1,097.49

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Solution

The fourth proportional to 1,981.74, 2,734.68 and 1,097.49 is: 1,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.74 : 2,734.68 = 1,097.49 : x
  2. Step 2: Convert to fraction form
    1,981.74/2,734.68 = 1,097.49/x
  3. Step 3: Cross multiply
    1,981.74x = 2,734.68 × 1,097.49
  4. Step 4: Simplify right side
    1,981.74x = 3,001,283.95
  5. Step 5: Solve for x
    x = 3,001,283.95/1,981.74
  6. Step 6: Final answer
    x = 1,514.47

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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.