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Finding the Fourth Proportional to 18,141, 27,211.50 and 7,197

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Solution

The fourth proportional to 18,141, 27,211.50 and 7,197 is: 10,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,141 : 27,211.50 = 7,197 : x
  2. Step 2: Convert to fraction form
    18,141/27,211.50 = 7,197/x
  3. Step 3: Cross multiply
    18,141x = 27,211.50 × 7,197
  4. Step 4: Simplify right side
    18,141x = 195,841,165.50
  5. Step 5: Solve for x
    x = 195,841,165.50/18,141
  6. Step 6: Final answer
    x = 10,795.50

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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.