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Finding the Fourth Proportional to 3,999.72, 5,996.70 and 1,533.96

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Solution

The fourth proportional to 3,999.72, 5,996.70 and 1,533.96 is: 2,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.72 : 5,996.70 = 1,533.96 : x
  2. Step 2: Convert to fraction form
    3,999.72/5,996.70 = 1,533.96/x
  3. Step 3: Cross multiply
    3,999.72x = 5,996.70 × 1,533.96
  4. Step 4: Simplify right side
    3,999.72x = 9,198,697.93
  5. Step 5: Solve for x
    x = 9,198,697.93/3,999.72
  6. Step 6: Final answer
    x = 2,299.84

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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.