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Finding the Fourth Proportional to 2,669.50, 3,999.92 and 2,021.50

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Solution

The fourth proportional to 2,669.50, 3,999.92 and 2,021.50 is: 3,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.50 : 3,999.92 = 2,021.50 : x
  2. Step 2: Convert to fraction form
    2,669.50/3,999.92 = 2,021.50/x
  3. Step 3: Cross multiply
    2,669.50x = 3,999.92 × 2,021.50
  4. Step 4: Simplify right side
    2,669.50x = 8,085,838.28
  5. Step 5: Solve for x
    x = 8,085,838.28/2,669.50
  6. Step 6: Final answer
    x = 3,028.97

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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.