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Finding the Fourth Proportional to 17,654.66, 26,469.15 and 8,289.86

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Solution

The fourth proportional to 17,654.66, 26,469.15 and 8,289.86 is: 12,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.66 : 26,469.15 = 8,289.86 : x
  2. Step 2: Convert to fraction form
    17,654.66/26,469.15 = 8,289.86/x
  3. Step 3: Cross multiply
    17,654.66x = 26,469.15 × 8,289.86
  4. Step 4: Simplify right side
    17,654.66x = 219,425,415.47
  5. Step 5: Solve for x
    x = 219,425,415.47/17,654.66
  6. Step 6: Final answer
    x = 12,428.76

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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.