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Finding the Fourth Proportional to 3,999.52, 5,998.44 and 1,533.40

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Solution

The fourth proportional to 3,999.52, 5,998.44 and 1,533.40 is: 2,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.52 : 5,998.44 = 1,533.40 : x
  2. Step 2: Convert to fraction form
    3,999.52/5,998.44 = 1,533.40/x
  3. Step 3: Cross multiply
    3,999.52x = 5,998.44 × 1,533.40
  4. Step 4: Simplify right side
    3,999.52x = 9,198,007.90
  5. Step 5: Solve for x
    x = 9,198,007.90/3,999.52
  6. Step 6: Final answer
    x = 2,299.78

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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.