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Finding the Fourth Proportional to 3,205.84, 4,809.48 and 2,393.78

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Solution

The fourth proportional to 3,205.84, 4,809.48 and 2,393.78 is: 3,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.84 : 4,809.48 = 2,393.78 : x
  2. Step 2: Convert to fraction form
    3,205.84/4,809.48 = 2,393.78/x
  3. Step 3: Cross multiply
    3,205.84x = 4,809.48 × 2,393.78
  4. Step 4: Simplify right side
    3,205.84x = 11,512,837.03
  5. Step 5: Solve for x
    x = 11,512,837.03/3,205.84
  6. Step 6: Final answer
    x = 3,591.21

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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.