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Finding the Fourth Proportional to 7,568.10, 11,350.80 and 4,789.80

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Solution

The fourth proportional to 7,568.10, 11,350.80 and 4,789.80 is: 7,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.10 : 11,350.80 = 4,789.80 : x
  2. Step 2: Convert to fraction form
    7,568.10/11,350.80 = 4,789.80/x
  3. Step 3: Cross multiply
    7,568.10x = 11,350.80 × 4,789.80
  4. Step 4: Simplify right side
    7,568.10x = 54,368,061.84
  5. Step 5: Solve for x
    x = 54,368,061.84/7,568.10
  6. Step 6: Final answer
    x = 7,183.85

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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.