Home / 1,902.82-2,626.77-1,205.14

Finding the Fourth Proportional to 1,902.82, 2,626.77 and 1,205.14

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Solution

The fourth proportional to 1,902.82, 2,626.77 and 1,205.14 is: 1,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.82 : 2,626.77 = 1,205.14 : x
  2. Step 2: Convert to fraction form
    1,902.82/2,626.77 = 1,205.14/x
  3. Step 3: Cross multiply
    1,902.82x = 2,626.77 × 1,205.14
  4. Step 4: Simplify right side
    1,902.82x = 3,165,625.60
  5. Step 5: Solve for x
    x = 3,165,625.60/1,902.82
  6. Step 6: Final answer
    x = 1,663.65

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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.