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Finding the Fourth Proportional to 2,015.56, 3,022.92 and 628.68

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Solution

The fourth proportional to 2,015.56, 3,022.92 and 628.68 is: 942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.56 : 3,022.92 = 628.68 : x
  2. Step 2: Convert to fraction form
    2,015.56/3,022.92 = 628.68/x
  3. Step 3: Cross multiply
    2,015.56x = 3,022.92 × 628.68
  4. Step 4: Simplify right side
    2,015.56x = 1,900,449.35
  5. Step 5: Solve for x
    x = 1,900,449.35/2,015.56
  6. Step 6: Final answer
    x = 942.89

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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.