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Finding the Fourth Proportional to 2,018.49, 3,028.74 and 922.62

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Solution

The fourth proportional to 2,018.49, 3,028.74 and 922.62 is: 1,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.49 : 3,028.74 = 922.62 : x
  2. Step 2: Convert to fraction form
    2,018.49/3,028.74 = 922.62/x
  3. Step 3: Cross multiply
    2,018.49x = 3,028.74 × 922.62
  4. Step 4: Simplify right side
    2,018.49x = 2,794,376.10
  5. Step 5: Solve for x
    x = 2,794,376.10/2,018.49
  6. Step 6: Final answer
    x = 1,384.39

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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.