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Finding the Fourth Proportional to 2,205.84, 3,321.97 and 2,009.01

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Solution

The fourth proportional to 2,205.84, 3,321.97 and 2,009.01 is: 3,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.84 : 3,321.97 = 2,009.01 : x
  2. Step 2: Convert to fraction form
    2,205.84/3,321.97 = 2,009.01/x
  3. Step 3: Cross multiply
    2,205.84x = 3,321.97 × 2,009.01
  4. Step 4: Simplify right side
    2,205.84x = 6,673,865.93
  5. Step 5: Solve for x
    x = 6,673,865.93/2,205.84
  6. Step 6: Final answer
    x = 3,025.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.