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Finding the Fourth Proportional to 3,738.84, 5,609.88 and 2,005.44

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Solution

The fourth proportional to 3,738.84, 5,609.88 and 2,005.44 is: 3,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.84 : 5,609.88 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    3,738.84/5,609.88 = 2,005.44/x
  3. Step 3: Cross multiply
    3,738.84x = 5,609.88 × 2,005.44
  4. Step 4: Simplify right side
    3,738.84x = 11,250,277.75
  5. Step 5: Solve for x
    x = 11,250,277.75/3,738.84
  6. Step 6: Final answer
    x = 3,009.03

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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.