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Finding the Fourth Proportional to 2,019.97, 3,029.55 and 559.09

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Solution

The fourth proportional to 2,019.97, 3,029.55 and 559.09 is: 838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.97 : 3,029.55 = 559.09 : x
  2. Step 2: Convert to fraction form
    2,019.97/3,029.55 = 559.09/x
  3. Step 3: Cross multiply
    2,019.97x = 3,029.55 × 559.09
  4. Step 4: Simplify right side
    2,019.97x = 1,693,791.11
  5. Step 5: Solve for x
    x = 1,693,791.11/2,019.97
  6. Step 6: Final answer
    x = 838.52

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1.5x scale

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.