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Finding the Fourth Proportional to 2,083.22, 3,124.83 and 622.33

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Solution

The fourth proportional to 2,083.22, 3,124.83 and 622.33 is: 933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.22 : 3,124.83 = 622.33 : x
  2. Step 2: Convert to fraction form
    2,083.22/3,124.83 = 622.33/x
  3. Step 3: Cross multiply
    2,083.22x = 3,124.83 × 622.33
  4. Step 4: Simplify right side
    2,083.22x = 1,944,684.05
  5. Step 5: Solve for x
    x = 1,944,684.05/2,083.22
  6. Step 6: Final answer
    x = 933.50

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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.