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Finding the Fourth Proportional to 3,993.70, 5,982.59 and 3,123.94

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Solution

The fourth proportional to 3,993.70, 5,982.59 and 3,123.94 is: 4,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.70 : 5,982.59 = 3,123.94 : x
  2. Step 2: Convert to fraction form
    3,993.70/5,982.59 = 3,123.94/x
  3. Step 3: Cross multiply
    3,993.70x = 5,982.59 × 3,123.94
  4. Step 4: Simplify right side
    3,993.70x = 18,689,252.20
  5. Step 5: Solve for x
    x = 18,689,252.20/3,993.70
  6. Step 6: Final answer
    x = 4,679.68

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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.