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Finding the Fourth Proportional to 3,816.98, 5,751.48 and 3,138.84

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Solution

The fourth proportional to 3,816.98, 5,751.48 and 3,138.84 is: 4,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.98 : 5,751.48 = 3,138.84 : x
  2. Step 2: Convert to fraction form
    3,816.98/5,751.48 = 3,138.84/x
  3. Step 3: Cross multiply
    3,816.98x = 5,751.48 × 3,138.84
  4. Step 4: Simplify right side
    3,816.98x = 18,052,974.50
  5. Step 5: Solve for x
    x = 18,052,974.50/3,816.98
  6. Step 6: Final answer
    x = 4,729.64

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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.