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Finding the Fourth Proportional to 2,020.42, 3,028.38 and 850.08

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Solution

The fourth proportional to 2,020.42, 3,028.38 and 850.08 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.42 : 3,028.38 = 850.08 : x
  2. Step 2: Convert to fraction form
    2,020.42/3,028.38 = 850.08/x
  3. Step 3: Cross multiply
    2,020.42x = 3,028.38 × 850.08
  4. Step 4: Simplify right side
    2,020.42x = 2,574,357.10
  5. Step 5: Solve for x
    x = 2,574,357.10/2,020.42
  6. Step 6: Final answer
    x = 1,274.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.