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Finding the Fourth Proportional to 2,019.80, 3,029.70 and 559.12

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Solution

The fourth proportional to 2,019.80, 3,029.70 and 559.12 is: 838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.80 : 3,029.70 = 559.12 : x
  2. Step 2: Convert to fraction form
    2,019.80/3,029.70 = 559.12/x
  3. Step 3: Cross multiply
    2,019.80x = 3,029.70 × 559.12
  4. Step 4: Simplify right side
    2,019.80x = 1,693,965.86
  5. Step 5: Solve for x
    x = 1,693,965.86/2,019.80
  6. Step 6: Final answer
    x = 838.68

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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.