Home / 2,021.82-3,032.14-788.95

Finding the Fourth Proportional to 2,021.82, 3,032.14 and 788.95

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Solution

The fourth proportional to 2,021.82, 3,032.14 and 788.95 is: 1,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.82 : 3,032.14 = 788.95 : x
  2. Step 2: Convert to fraction form
    2,021.82/3,032.14 = 788.95/x
  3. Step 3: Cross multiply
    2,021.82x = 3,032.14 × 788.95
  4. Step 4: Simplify right side
    2,021.82x = 2,392,206.85
  5. Step 5: Solve for x
    x = 2,392,206.85/2,021.82
  6. Step 6: Final answer
    x = 1,183.19

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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.