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Finding the Fourth Proportional to 2,021.68, 3,032.52 and 789.96

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Solution

The fourth proportional to 2,021.68, 3,032.52 and 789.96 is: 1,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.68 : 3,032.52 = 789.96 : x
  2. Step 2: Convert to fraction form
    2,021.68/3,032.52 = 789.96/x
  3. Step 3: Cross multiply
    2,021.68x = 3,032.52 × 789.96
  4. Step 4: Simplify right side
    2,021.68x = 2,395,569.50
  5. Step 5: Solve for x
    x = 2,395,569.50/2,021.68
  6. Step 6: Final answer
    x = 1,184.94

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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.