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Finding the Fourth Proportional to 2,018.90, 3,028.62 and 720.38

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Solution

The fourth proportional to 2,018.90, 3,028.62 and 720.38 is: 1,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.90 : 3,028.62 = 720.38 : x
  2. Step 2: Convert to fraction form
    2,018.90/3,028.62 = 720.38/x
  3. Step 3: Cross multiply
    2,018.90x = 3,028.62 × 720.38
  4. Step 4: Simplify right side
    2,018.90x = 2,181,757.28
  5. Step 5: Solve for x
    x = 2,181,757.28/2,018.90
  6. Step 6: Final answer
    x = 1,080.67

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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.