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Finding the Fourth Proportional to 14,508, 20,021.16 and 7,884

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Solution

The fourth proportional to 14,508, 20,021.16 and 7,884 is: 10,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508 : 20,021.16 = 7,884 : x
  2. Step 2: Convert to fraction form
    14,508/20,021.16 = 7,884/x
  3. Step 3: Cross multiply
    14,508x = 20,021.16 × 7,884
  4. Step 4: Simplify right side
    14,508x = 157,846,825.44
  5. Step 5: Solve for x
    x = 157,846,825.44/14,508
  6. Step 6: Final answer
    x = 10,879.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.