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Finding the Fourth Proportional to 2,012.14, 3,018.21 and 551.31

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Solution

The fourth proportional to 2,012.14, 3,018.21 and 551.31 is: 826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.14 : 3,018.21 = 551.31 : x
  2. Step 2: Convert to fraction form
    2,012.14/3,018.21 = 551.31/x
  3. Step 3: Cross multiply
    2,012.14x = 3,018.21 × 551.31
  4. Step 4: Simplify right side
    2,012.14x = 1,663,969.36
  5. Step 5: Solve for x
    x = 1,663,969.36/2,012.14
  6. Step 6: Final answer
    x = 826.97

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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.