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Finding the Fourth Proportional to 2,019.63, 3,027.62 and 720.80

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Solution

The fourth proportional to 2,019.63, 3,027.62 and 720.80 is: 1,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.63 : 3,027.62 = 720.80 : x
  2. Step 2: Convert to fraction form
    2,019.63/3,027.62 = 720.80/x
  3. Step 3: Cross multiply
    2,019.63x = 3,027.62 × 720.80
  4. Step 4: Simplify right side
    2,019.63x = 2,182,308.50
  5. Step 5: Solve for x
    x = 2,182,308.50/2,019.63
  6. Step 6: Final answer
    x = 1,080.55

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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.