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Finding the Fourth Proportional to 2,012.41, 3,018.21 and 551.53

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Solution

The fourth proportional to 2,012.41, 3,018.21 and 551.53 is: 827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.41 : 3,018.21 = 551.53 : x
  2. Step 2: Convert to fraction form
    2,012.41/3,018.21 = 551.53/x
  3. Step 3: Cross multiply
    2,012.41x = 3,018.21 × 551.53
  4. Step 4: Simplify right side
    2,012.41x = 1,664,633.36
  5. Step 5: Solve for x
    x = 1,664,633.36/2,012.41
  6. Step 6: Final answer
    x = 827.18

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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.