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Finding the Fourth Proportional to 18,362.72, 27,539.16 and 7,972

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Solution

The fourth proportional to 18,362.72, 27,539.16 and 7,972 is: 11,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362.72 : 27,539.16 = 7,972 : x
  2. Step 2: Convert to fraction form
    18,362.72/27,539.16 = 7,972/x
  3. Step 3: Cross multiply
    18,362.72x = 27,539.16 × 7,972
  4. Step 4: Simplify right side
    18,362.72x = 219,542,183.52
  5. Step 5: Solve for x
    x = 219,542,183.52/18,362.72
  6. Step 6: Final answer
    x = 11,955.86

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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.