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Finding the Fourth Proportional to 6,471.26, 9,704.81 and 2,087.69

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Solution

The fourth proportional to 6,471.26, 9,704.81 and 2,087.69 is: 3,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.26 : 9,704.81 = 2,087.69 : x
  2. Step 2: Convert to fraction form
    6,471.26/9,704.81 = 2,087.69/x
  3. Step 3: Cross multiply
    6,471.26x = 9,704.81 × 2,087.69
  4. Step 4: Simplify right side
    6,471.26x = 20,260,575.83
  5. Step 5: Solve for x
    x = 20,260,575.83/6,471.26
  6. Step 6: Final answer
    x = 3,130.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.