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Finding the Fourth Proportional to 3,975.75, 5,486.54 and 2,207.73

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Solution

The fourth proportional to 3,975.75, 5,486.54 and 2,207.73 is: 3,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.75 : 5,486.54 = 2,207.73 : x
  2. Step 2: Convert to fraction form
    3,975.75/5,486.54 = 2,207.73/x
  3. Step 3: Cross multiply
    3,975.75x = 5,486.54 × 2,207.73
  4. Step 4: Simplify right side
    3,975.75x = 12,112,787.92
  5. Step 5: Solve for x
    x = 12,112,787.92/3,975.75
  6. Step 6: Final answer
    x = 3,046.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.