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Finding the Fourth Proportional to 2,018.85, 3,028.27 and 538.22

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Solution

The fourth proportional to 2,018.85, 3,028.27 and 538.22 is: 807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.85 : 3,028.27 = 538.22 : x
  2. Step 2: Convert to fraction form
    2,018.85/3,028.27 = 538.22/x
  3. Step 3: Cross multiply
    2,018.85x = 3,028.27 × 538.22
  4. Step 4: Simplify right side
    2,018.85x = 1,629,875.48
  5. Step 5: Solve for x
    x = 1,629,875.48/2,018.85
  6. Step 6: Final answer
    x = 807.33

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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.