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Finding the Fourth Proportional to 2,123.40, 3,185.50 and 662.44

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Solution

The fourth proportional to 2,123.40, 3,185.50 and 662.44 is: 993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.40 : 3,185.50 = 662.44 : x
  2. Step 2: Convert to fraction form
    2,123.40/3,185.50 = 662.44/x
  3. Step 3: Cross multiply
    2,123.40x = 3,185.50 × 662.44
  4. Step 4: Simplify right side
    2,123.40x = 2,110,202.62
  5. Step 5: Solve for x
    x = 2,110,202.62/2,123.40
  6. Step 6: Final answer
    x = 993.78

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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.