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Finding the Fourth Proportional to 2,121.50, 3,181.64 and 640.67

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Solution

The fourth proportional to 2,121.50, 3,181.64 and 640.67 is: 960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.50 : 3,181.64 = 640.67 : x
  2. Step 2: Convert to fraction form
    2,121.50/3,181.64 = 640.67/x
  3. Step 3: Cross multiply
    2,121.50x = 3,181.64 × 640.67
  4. Step 4: Simplify right side
    2,121.50x = 2,038,362.19
  5. Step 5: Solve for x
    x = 2,038,362.19/2,121.50
  6. Step 6: Final answer
    x = 960.81

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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.