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Finding the Fourth Proportional to 7,704.72, 11,551.86 and 3,021.80

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Solution

The fourth proportional to 7,704.72, 11,551.86 and 3,021.80 is: 4,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.72 : 11,551.86 = 3,021.80 : x
  2. Step 2: Convert to fraction form
    7,704.72/11,551.86 = 3,021.80/x
  3. Step 3: Cross multiply
    7,704.72x = 11,551.86 × 3,021.80
  4. Step 4: Simplify right side
    7,704.72x = 34,907,410.55
  5. Step 5: Solve for x
    x = 34,907,410.55/7,704.72
  6. Step 6: Final answer
    x = 4,530.65

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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.