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Finding the Fourth Proportional to 3,121.00, 4,306.98 and 1,704.70

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Solution

The fourth proportional to 3,121.00, 4,306.98 and 1,704.70 is: 2,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.00 : 4,306.98 = 1,704.70 : x
  2. Step 2: Convert to fraction form
    3,121.00/4,306.98 = 1,704.70/x
  3. Step 3: Cross multiply
    3,121.00x = 4,306.98 × 1,704.70
  4. Step 4: Simplify right side
    3,121.00x = 7,342,087.27
  5. Step 5: Solve for x
    x = 7,342,087.27/3,121.00
  6. Step 6: Final answer
    x = 2,352.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.