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Finding the Fourth Proportional to 2,999.28, 4,500 and 1,843.68

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Solution

The fourth proportional to 2,999.28, 4,500 and 1,843.68 is: 2,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.28 : 4,500 = 1,843.68 : x
  2. Step 2: Convert to fraction form
    2,999.28/4,500 = 1,843.68/x
  3. Step 3: Cross multiply
    2,999.28x = 4,500 × 1,843.68
  4. Step 4: Simplify right side
    2,999.28x = 8,296,560
  5. Step 5: Solve for x
    x = 8,296,560/2,999.28
  6. Step 6: Final answer
    x = 2,766.18

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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.