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Finding the Fourth Proportional to 18,960.96, 28,441.32 and 10,200

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Solution

The fourth proportional to 18,960.96, 28,441.32 and 10,200 is: 15,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,960.96 : 28,441.32 = 10,200 : x
  2. Step 2: Convert to fraction form
    18,960.96/28,441.32 = 10,200/x
  3. Step 3: Cross multiply
    18,960.96x = 28,441.32 × 10,200
  4. Step 4: Simplify right side
    18,960.96x = 290,101,464
  5. Step 5: Solve for x
    x = 290,101,464/18,960.96
  6. Step 6: Final answer
    x = 15,299.94

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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.