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Finding the Fourth Proportional to 3,684, 5,083.92 and 2,028

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Solution

The fourth proportional to 3,684, 5,083.92 and 2,028 is: 2,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684 : 5,083.92 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,684/5,083.92 = 2,028/x
  3. Step 3: Cross multiply
    3,684x = 5,083.92 × 2,028
  4. Step 4: Simplify right side
    3,684x = 10,310,189.76
  5. Step 5: Solve for x
    x = 10,310,189.76/3,684
  6. Step 6: Final answer
    x = 2,798.64

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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.