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Finding the Fourth Proportional to 2,012.78, 3,019.17 and 552.05

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Solution

The fourth proportional to 2,012.78, 3,019.17 and 552.05 is: 828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.78 : 3,019.17 = 552.05 : x
  2. Step 2: Convert to fraction form
    2,012.78/3,019.17 = 552.05/x
  3. Step 3: Cross multiply
    2,012.78x = 3,019.17 × 552.05
  4. Step 4: Simplify right side
    2,012.78x = 1,666,731.09
  5. Step 5: Solve for x
    x = 1,666,731.09/2,012.78
  6. Step 6: Final answer
    x = 828.07

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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.