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Finding the Fourth Proportional to 3,663.33, 5,055.42 and 2,172

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Solution

The fourth proportional to 3,663.33, 5,055.42 and 2,172 is: 2,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.33 : 5,055.42 = 2,172 : x
  2. Step 2: Convert to fraction form
    3,663.33/5,055.42 = 2,172/x
  3. Step 3: Cross multiply
    3,663.33x = 5,055.42 × 2,172
  4. Step 4: Simplify right side
    3,663.33x = 10,980,372.24
  5. Step 5: Solve for x
    x = 10,980,372.24/3,663.33
  6. Step 6: Final answer
    x = 2,997.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.