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Finding the Fourth Proportional to 7,240, 10,861.42 and 3,079.96

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Solution

The fourth proportional to 7,240, 10,861.42 and 3,079.96 is: 4,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240 : 10,861.42 = 3,079.96 : x
  2. Step 2: Convert to fraction form
    7,240/10,861.42 = 3,079.96/x
  3. Step 3: Cross multiply
    7,240x = 10,861.42 × 3,079.96
  4. Step 4: Simplify right side
    7,240x = 33,452,739.14
  5. Step 5: Solve for x
    x = 33,452,739.14/7,240
  6. Step 6: Final answer
    x = 4,620.54

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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.