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Finding the Fourth Proportional to 3,809.21, 5,713.94 and 1,310.37

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Solution

The fourth proportional to 3,809.21, 5,713.94 and 1,310.37 is: 1,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.21 : 5,713.94 = 1,310.37 : x
  2. Step 2: Convert to fraction form
    3,809.21/5,713.94 = 1,310.37/x
  3. Step 3: Cross multiply
    3,809.21x = 5,713.94 × 1,310.37
  4. Step 4: Simplify right side
    3,809.21x = 7,487,375.56
  5. Step 5: Solve for x
    x = 7,487,375.56/3,809.21
  6. Step 6: Final answer
    x = 1,965.60

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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.