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Finding the Fourth Proportional to 2,520.24, 3,780.72 and 789

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Solution

The fourth proportional to 2,520.24, 3,780.72 and 789 is: 1,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.24 : 3,780.72 = 789 : x
  2. Step 2: Convert to fraction form
    2,520.24/3,780.72 = 789/x
  3. Step 3: Cross multiply
    2,520.24x = 3,780.72 × 789
  4. Step 4: Simplify right side
    2,520.24x = 2,982,988.08
  5. Step 5: Solve for x
    x = 2,982,988.08/2,520.24
  6. Step 6: Final answer
    x = 1,183.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.