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Finding the Fourth Proportional to 18,965.94, 28,446.78 and 7,270.95

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Solution

The fourth proportional to 18,965.94, 28,446.78 and 7,270.95 is: 10,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965.94 : 28,446.78 = 7,270.95 : x
  2. Step 2: Convert to fraction form
    18,965.94/28,446.78 = 7,270.95/x
  3. Step 3: Cross multiply
    18,965.94x = 28,446.78 × 7,270.95
  4. Step 4: Simplify right side
    18,965.94x = 206,835,115.04
  5. Step 5: Solve for x
    x = 206,835,115.04/18,965.94
  6. Step 6: Final answer
    x = 10,905.61

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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.