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Finding the Fourth Proportional to 3,398.01, 5,093.46 and 1,640.40

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Solution

The fourth proportional to 3,398.01, 5,093.46 and 1,640.40 is: 2,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.01 : 5,093.46 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    3,398.01/5,093.46 = 1,640.40/x
  3. Step 3: Cross multiply
    3,398.01x = 5,093.46 × 1,640.40
  4. Step 4: Simplify right side
    3,398.01x = 8,355,311.78
  5. Step 5: Solve for x
    x = 8,355,311.78/3,398.01
  6. Step 6: Final answer
    x = 2,458.88

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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.