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Finding the Fourth Proportional to 7,912.28, 11,868.42 and 2,980.60

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Solution

The fourth proportional to 7,912.28, 11,868.42 and 2,980.60 is: 4,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.28 : 11,868.42 = 2,980.60 : x
  2. Step 2: Convert to fraction form
    7,912.28/11,868.42 = 2,980.60/x
  3. Step 3: Cross multiply
    7,912.28x = 11,868.42 × 2,980.60
  4. Step 4: Simplify right side
    7,912.28x = 35,375,012.65
  5. Step 5: Solve for x
    x = 35,375,012.65/7,912.28
  6. Step 6: Final answer
    x = 4,470.90

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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.