Home / 1,982.42-2,735.60-1,283.79

Finding the Fourth Proportional to 1,982.42, 2,735.60 and 1,283.79

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Solution

The fourth proportional to 1,982.42, 2,735.60 and 1,283.79 is: 1,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.42 : 2,735.60 = 1,283.79 : x
  2. Step 2: Convert to fraction form
    1,982.42/2,735.60 = 1,283.79/x
  3. Step 3: Cross multiply
    1,982.42x = 2,735.60 × 1,283.79
  4. Step 4: Simplify right side
    1,982.42x = 3,511,929.51
  5. Step 5: Solve for x
    x = 3,511,929.51/1,982.42
  6. Step 6: Final answer
    x = 1,771.54

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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.