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Finding the Fourth Proportional to 3,828, 5,280.12 and 2,763.99

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Solution

The fourth proportional to 3,828, 5,280.12 and 2,763.99 is: 3,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,280.12 = 2,763.99 : x
  2. Step 2: Convert to fraction form
    3,828/5,280.12 = 2,763.99/x
  3. Step 3: Cross multiply
    3,828x = 5,280.12 × 2,763.99
  4. Step 4: Simplify right side
    3,828x = 14,594,198.88
  5. Step 5: Solve for x
    x = 14,594,198.88/3,828
  6. Step 6: Final answer
    x = 3,812.49

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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.