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Finding the Fourth Proportional to 3,996.96, 5,991.78 and 1,398.48

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Solution

The fourth proportional to 3,996.96, 5,991.78 and 1,398.48 is: 2,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.96 : 5,991.78 = 1,398.48 : x
  2. Step 2: Convert to fraction form
    3,996.96/5,991.78 = 1,398.48/x
  3. Step 3: Cross multiply
    3,996.96x = 5,991.78 × 1,398.48
  4. Step 4: Simplify right side
    3,996.96x = 8,379,384.49
  5. Step 5: Solve for x
    x = 8,379,384.49/3,996.96
  6. Step 6: Final answer
    x = 2,096.44

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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.