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Finding the Fourth Proportional to 18,144.24, 27,212.22 and 4,997.76

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Solution

The fourth proportional to 18,144.24, 27,212.22 and 4,997.76 is: 7,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.24 : 27,212.22 = 4,997.76 : x
  2. Step 2: Convert to fraction form
    18,144.24/27,212.22 = 4,997.76/x
  3. Step 3: Cross multiply
    18,144.24x = 27,212.22 × 4,997.76
  4. Step 4: Simplify right side
    18,144.24x = 136,000,144.63
  5. Step 5: Solve for x
    x = 136,000,144.63/18,144.24
  6. Step 6: Final answer
    x = 7,495.50

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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.