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Finding the Fourth Proportional to 2,015.88, 3,023.85 and 629.16

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Solution

The fourth proportional to 2,015.88, 3,023.85 and 629.16 is: 943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.88 : 3,023.85 = 629.16 : x
  2. Step 2: Convert to fraction form
    2,015.88/3,023.85 = 629.16/x
  3. Step 3: Cross multiply
    2,015.88x = 3,023.85 × 629.16
  4. Step 4: Simplify right side
    2,015.88x = 1,902,485.47
  5. Step 5: Solve for x
    x = 1,902,485.47/2,015.88
  6. Step 6: Final answer
    x = 943.75

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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.