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Finding the Fourth Proportional to 7,137.56, 10,704.72 and 2,520.56

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Solution

The fourth proportional to 7,137.56, 10,704.72 and 2,520.56 is: 3,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.56 : 10,704.72 = 2,520.56 : x
  2. Step 2: Convert to fraction form
    7,137.56/10,704.72 = 2,520.56/x
  3. Step 3: Cross multiply
    7,137.56x = 10,704.72 × 2,520.56
  4. Step 4: Simplify right side
    7,137.56x = 26,981,889.04
  5. Step 5: Solve for x
    x = 26,981,889.04/7,137.56
  6. Step 6: Final answer
    x = 3,780.27

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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.