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Finding the Fourth Proportional to 6,520.65, 9,782.81 and 2,627.79

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Solution

The fourth proportional to 6,520.65, 9,782.81 and 2,627.79 is: 3,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.65 : 9,782.81 = 2,627.79 : x
  2. Step 2: Convert to fraction form
    6,520.65/9,782.81 = 2,627.79/x
  3. Step 3: Cross multiply
    6,520.65x = 9,782.81 × 2,627.79
  4. Step 4: Simplify right side
    6,520.65x = 25,707,157.15
  5. Step 5: Solve for x
    x = 25,707,157.15/6,520.65
  6. Step 6: Final answer
    x = 3,942.42

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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.