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Finding the Fourth Proportional to 3,660.85, 5,051.97 and 1,982.25

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Solution

The fourth proportional to 3,660.85, 5,051.97 and 1,982.25 is: 2,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.85 : 5,051.97 = 1,982.25 : x
  2. Step 2: Convert to fraction form
    3,660.85/5,051.97 = 1,982.25/x
  3. Step 3: Cross multiply
    3,660.85x = 5,051.97 × 1,982.25
  4. Step 4: Simplify right side
    3,660.85x = 10,014,257.62
  5. Step 5: Solve for x
    x = 10,014,257.62/3,660.85
  6. Step 6: Final answer
    x = 2,735.50

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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.