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Finding the Fourth Proportional to 1,829.07, 2,744.15 and 789.57

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Solution

The fourth proportional to 1,829.07, 2,744.15 and 789.57 is: 1,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.07 : 2,744.15 = 789.57 : x
  2. Step 2: Convert to fraction form
    1,829.07/2,744.15 = 789.57/x
  3. Step 3: Cross multiply
    1,829.07x = 2,744.15 × 789.57
  4. Step 4: Simplify right side
    1,829.07x = 2,166,694.57
  5. Step 5: Solve for x
    x = 2,166,694.57/1,829.07
  6. Step 6: Final answer
    x = 1,184.59

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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.