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Finding the Fourth Proportional to 2,682.75, 4,021.05 and 1,804.20

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Solution

The fourth proportional to 2,682.75, 4,021.05 and 1,804.20 is: 2,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.75 : 4,021.05 = 1,804.20 : x
  2. Step 2: Convert to fraction form
    2,682.75/4,021.05 = 1,804.20/x
  3. Step 3: Cross multiply
    2,682.75x = 4,021.05 × 1,804.20
  4. Step 4: Simplify right side
    2,682.75x = 7,254,778.41
  5. Step 5: Solve for x
    x = 7,254,778.41/2,682.75
  6. Step 6: Final answer
    x = 2,704.23

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1.5x scale

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.