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Finding the Fourth Proportional to 26,645, 39,968.58 and 8,177

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Solution

The fourth proportional to 26,645, 39,968.58 and 8,177 is: 12,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,645 : 39,968.58 = 8,177 : x
  2. Step 2: Convert to fraction form
    26,645/39,968.58 = 8,177/x
  3. Step 3: Cross multiply
    26,645x = 39,968.58 × 8,177
  4. Step 4: Simplify right side
    26,645x = 326,823,078.66
  5. Step 5: Solve for x
    x = 326,823,078.66/26,645
  6. Step 6: Final answer
    x = 12,265.83

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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.