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Finding the Fourth Proportional to 3,998.36, 5,998.55 and 2,830.64

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Solution

The fourth proportional to 3,998.36, 5,998.55 and 2,830.64 is: 4,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.36 : 5,998.55 = 2,830.64 : x
  2. Step 2: Convert to fraction form
    3,998.36/5,998.55 = 2,830.64/x
  3. Step 3: Cross multiply
    3,998.36x = 5,998.55 × 2,830.64
  4. Step 4: Simplify right side
    3,998.36x = 16,979,736.42
  5. Step 5: Solve for x
    x = 16,979,736.42/3,998.36
  6. Step 6: Final answer
    x = 4,246.68

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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.