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Finding the Fourth Proportional to 18,163, 27,244.50 and 7,219

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Solution

The fourth proportional to 18,163, 27,244.50 and 7,219 is: 10,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,163 : 27,244.50 = 7,219 : x
  2. Step 2: Convert to fraction form
    18,163/27,244.50 = 7,219/x
  3. Step 3: Cross multiply
    18,163x = 27,244.50 × 7,219
  4. Step 4: Simplify right side
    18,163x = 196,678,045.50
  5. Step 5: Solve for x
    x = 196,678,045.50/18,163
  6. Step 6: Final answer
    x = 10,828.50

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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.