Home / 3,882.40-5,820.68-1,828

Finding the Fourth Proportional to 3,882.40, 5,820.68 and 1,828

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Solution

The fourth proportional to 3,882.40, 5,820.68 and 1,828 is: 2,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,820.68 = 1,828 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,820.68 = 1,828/x
  3. Step 3: Cross multiply
    3,882.40x = 5,820.68 × 1,828
  4. Step 4: Simplify right side
    3,882.40x = 10,640,203.04
  5. Step 5: Solve for x
    x = 10,640,203.04/3,882.40
  6. Step 6: Final answer
    x = 2,740.63

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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.