Home / 1,982.72-2,735.68-1,284

Finding the Fourth Proportional to 1,982.72, 2,735.68 and 1,284

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Solution

The fourth proportional to 1,982.72, 2,735.68 and 1,284 is: 1,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.72 : 2,735.68 = 1,284 : x
  2. Step 2: Convert to fraction form
    1,982.72/2,735.68 = 1,284/x
  3. Step 3: Cross multiply
    1,982.72x = 2,735.68 × 1,284
  4. Step 4: Simplify right side
    1,982.72x = 3,512,613.12
  5. Step 5: Solve for x
    x = 3,512,613.12/1,982.72
  6. Step 6: Final answer
    x = 1,771.61

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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.