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Finding the Fourth Proportional to 3,320, 4,581.58 and 1,828

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Solution

The fourth proportional to 3,320, 4,581.58 and 1,828 is: 2,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320 : 4,581.58 = 1,828 : x
  2. Step 2: Convert to fraction form
    3,320/4,581.58 = 1,828/x
  3. Step 3: Cross multiply
    3,320x = 4,581.58 × 1,828
  4. Step 4: Simplify right side
    3,320x = 8,375,128.24
  5. Step 5: Solve for x
    x = 8,375,128.24/3,320
  6. Step 6: Final answer
    x = 2,522.63

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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.