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Finding the Fourth Proportional to 2,012.36, 3,018.62 and 625.84

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Solution

The fourth proportional to 2,012.36, 3,018.62 and 625.84 is: 938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.36 : 3,018.62 = 625.84 : x
  2. Step 2: Convert to fraction form
    2,012.36/3,018.62 = 625.84/x
  3. Step 3: Cross multiply
    2,012.36x = 3,018.62 × 625.84
  4. Step 4: Simplify right side
    2,012.36x = 1,889,173.14
  5. Step 5: Solve for x
    x = 1,889,173.14/2,012.36
  6. Step 6: Final answer
    x = 938.78

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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.