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Finding the Fourth Proportional to 3,828, 5,283.28 and 2,171.68

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Solution

The fourth proportional to 3,828, 5,283.28 and 2,171.68 is: 2,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,283.28 = 2,171.68 : x
  2. Step 2: Convert to fraction form
    3,828/5,283.28 = 2,171.68/x
  3. Step 3: Cross multiply
    3,828x = 5,283.28 × 2,171.68
  4. Step 4: Simplify right side
    3,828x = 11,473,593.51
  5. Step 5: Solve for x
    x = 11,473,593.51/3,828
  6. Step 6: Final answer
    x = 2,997.28

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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.