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Finding the Fourth Proportional to 17,654.64, 26,469.14 and 8,289.84

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Solution

The fourth proportional to 17,654.64, 26,469.14 and 8,289.84 is: 12,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.64 : 26,469.14 = 8,289.84 : x
  2. Step 2: Convert to fraction form
    17,654.64/26,469.14 = 8,289.84/x
  3. Step 3: Cross multiply
    17,654.64x = 26,469.14 × 8,289.84
  4. Step 4: Simplify right side
    17,654.64x = 219,424,935.54
  5. Step 5: Solve for x
    x = 219,424,935.54/17,654.64
  6. Step 6: Final answer
    x = 12,428.74

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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.