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Finding the Fourth Proportional to 2,021.61, 3,033.63 and 789.60

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Solution

The fourth proportional to 2,021.61, 3,033.63 and 789.60 is: 1,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.61 : 3,033.63 = 789.60 : x
  2. Step 2: Convert to fraction form
    2,021.61/3,033.63 = 789.60/x
  3. Step 3: Cross multiply
    2,021.61x = 3,033.63 × 789.60
  4. Step 4: Simplify right side
    2,021.61x = 2,395,354.25
  5. Step 5: Solve for x
    x = 2,395,354.25/2,021.61
  6. Step 6: Final answer
    x = 1,184.87

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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.