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Finding the Fourth Proportional to 2,065.21, 3,094.21 and 1,720.75

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Solution

The fourth proportional to 2,065.21, 3,094.21 and 1,720.75 is: 2,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.21 : 3,094.21 = 1,720.75 : x
  2. Step 2: Convert to fraction form
    2,065.21/3,094.21 = 1,720.75/x
  3. Step 3: Cross multiply
    2,065.21x = 3,094.21 × 1,720.75
  4. Step 4: Simplify right side
    2,065.21x = 5,324,361.86
  5. Step 5: Solve for x
    x = 5,324,361.86/2,065.21
  6. Step 6: Final answer
    x = 2,578.12

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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.