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Finding the Fourth Proportional to 3,998.10, 5,996.84 and 1,365.38

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Solution

The fourth proportional to 3,998.10, 5,996.84 and 1,365.38 is: 2,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.10 : 5,996.84 = 1,365.38 : x
  2. Step 2: Convert to fraction form
    3,998.10/5,996.84 = 1,365.38/x
  3. Step 3: Cross multiply
    3,998.10x = 5,996.84 × 1,365.38
  4. Step 4: Simplify right side
    3,998.10x = 8,187,965.40
  5. Step 5: Solve for x
    x = 8,187,965.40/3,998.10
  6. Step 6: Final answer
    x = 2,047.96

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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.