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Finding the Fourth Proportional to 18,960.24, 28,431 and 5,809.44

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Solution

The fourth proportional to 18,960.24, 28,431 and 5,809.44 is: 8,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,960.24 : 28,431 = 5,809.44 : x
  2. Step 2: Convert to fraction form
    18,960.24/28,431 = 5,809.44/x
  3. Step 3: Cross multiply
    18,960.24x = 28,431 × 5,809.44
  4. Step 4: Simplify right side
    18,960.24x = 165,168,188.64
  5. Step 5: Solve for x
    x = 165,168,188.64/18,960.24
  6. Step 6: Final answer
    x = 8,711.29

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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.