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Finding the Fourth Proportional to 2,190.38, 3,285.38 and 803.66

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Solution

The fourth proportional to 2,190.38, 3,285.38 and 803.66 is: 1,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.38 : 3,285.38 = 803.66 : x
  2. Step 2: Convert to fraction form
    2,190.38/3,285.38 = 803.66/x
  3. Step 3: Cross multiply
    2,190.38x = 3,285.38 × 803.66
  4. Step 4: Simplify right side
    2,190.38x = 2,640,308.05
  5. Step 5: Solve for x
    x = 2,640,308.05/2,190.38
  6. Step 6: Final answer
    x = 1,205.41

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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.