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Finding the Fourth Proportional to 3,996.54, 5,997.42 and 1,805.40

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Solution

The fourth proportional to 3,996.54, 5,997.42 and 1,805.40 is: 2,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.54 : 5,997.42 = 1,805.40 : x
  2. Step 2: Convert to fraction form
    3,996.54/5,997.42 = 1,805.40/x
  3. Step 3: Cross multiply
    3,996.54x = 5,997.42 × 1,805.40
  4. Step 4: Simplify right side
    3,996.54x = 10,827,742.07
  5. Step 5: Solve for x
    x = 10,827,742.07/3,996.54
  6. Step 6: Final answer
    x = 2,709.28

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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.