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Finding the Fourth Proportional to 2,180.02, 3,270.60 and 641.02

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Solution

The fourth proportional to 2,180.02, 3,270.60 and 641.02 is: 961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.02 : 3,270.60 = 641.02 : x
  2. Step 2: Convert to fraction form
    2,180.02/3,270.60 = 641.02/x
  3. Step 3: Cross multiply
    2,180.02x = 3,270.60 × 641.02
  4. Step 4: Simplify right side
    2,180.02x = 2,096,520.01
  5. Step 5: Solve for x
    x = 2,096,520.01/2,180.02
  6. Step 6: Final answer
    x = 961.70

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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.