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Finding the Fourth Proportional to 3,999.72, 5,997.28 and 1,533

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Solution

The fourth proportional to 3,999.72, 5,997.28 and 1,533 is: 2,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.72 : 5,997.28 = 1,533 : x
  2. Step 2: Convert to fraction form
    3,999.72/5,997.28 = 1,533/x
  3. Step 3: Cross multiply
    3,999.72x = 5,997.28 × 1,533
  4. Step 4: Simplify right side
    3,999.72x = 9,193,830.24
  5. Step 5: Solve for x
    x = 9,193,830.24/3,999.72
  6. Step 6: Final answer
    x = 2,298.62

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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.