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Finding the Fourth Proportional to 2,021.99, 3,034.35 and 789.39

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Solution

The fourth proportional to 2,021.99, 3,034.35 and 789.39 is: 1,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.99 : 3,034.35 = 789.39 : x
  2. Step 2: Convert to fraction form
    2,021.99/3,034.35 = 789.39/x
  3. Step 3: Cross multiply
    2,021.99x = 3,034.35 × 789.39
  4. Step 4: Simplify right side
    2,021.99x = 2,395,285.55
  5. Step 5: Solve for x
    x = 2,395,285.55/2,021.99
  6. Step 6: Final answer
    x = 1,184.62

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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.