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Finding the Fourth Proportional to 2,015.38, 3,023.02 and 628.51

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Solution

The fourth proportional to 2,015.38, 3,023.02 and 628.51 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.38 : 3,023.02 = 628.51 : x
  2. Step 2: Convert to fraction form
    2,015.38/3,023.02 = 628.51/x
  3. Step 3: Cross multiply
    2,015.38x = 3,023.02 × 628.51
  4. Step 4: Simplify right side
    2,015.38x = 1,899,997.20
  5. Step 5: Solve for x
    x = 1,899,997.20/2,015.38
  6. Step 6: Final answer
    x = 942.75

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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.