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Finding the Fourth Proportional to 3,771.98, 5,657.95 and 1,306.83

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Solution

The fourth proportional to 3,771.98, 5,657.95 and 1,306.83 is: 1,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.98 : 5,657.95 = 1,306.83 : x
  2. Step 2: Convert to fraction form
    3,771.98/5,657.95 = 1,306.83/x
  3. Step 3: Cross multiply
    3,771.98x = 5,657.95 × 1,306.83
  4. Step 4: Simplify right side
    3,771.98x = 7,394,001.65
  5. Step 5: Solve for x
    x = 7,394,001.65/3,771.98
  6. Step 6: Final answer
    x = 1,960.24

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1.5x scale

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.