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Finding the Fourth Proportional to 2,828, 4,243.80 and 1,289

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Solution

The fourth proportional to 2,828, 4,243.80 and 1,289 is: 1,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828 : 4,243.80 = 1,289 : x
  2. Step 2: Convert to fraction form
    2,828/4,243.80 = 1,289/x
  3. Step 3: Cross multiply
    2,828x = 4,243.80 × 1,289
  4. Step 4: Simplify right side
    2,828x = 5,470,258.20
  5. Step 5: Solve for x
    x = 5,470,258.20/2,828
  6. Step 6: Final answer
    x = 1,934.32

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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.