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Finding the Fourth Proportional to 14,787, 20,406.24 and 8,163

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Solution

The fourth proportional to 14,787, 20,406.24 and 8,163 is: 11,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787 : 20,406.24 = 8,163 : x
  2. Step 2: Convert to fraction form
    14,787/20,406.24 = 8,163/x
  3. Step 3: Cross multiply
    14,787x = 20,406.24 × 8,163
  4. Step 4: Simplify right side
    14,787x = 166,576,137.12
  5. Step 5: Solve for x
    x = 166,576,137.12/14,787
  6. Step 6: Final answer
    x = 11,265.04

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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.