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Finding the Fourth Proportional to 17,383.04, 26,078.40 and 8,144

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Solution

The fourth proportional to 17,383.04, 26,078.40 and 8,144 is: 12,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.04 : 26,078.40 = 8,144 : x
  2. Step 2: Convert to fraction form
    17,383.04/26,078.40 = 8,144/x
  3. Step 3: Cross multiply
    17,383.04x = 26,078.40 × 8,144
  4. Step 4: Simplify right side
    17,383.04x = 212,382,489.60
  5. Step 5: Solve for x
    x = 212,382,489.60/17,383.04
  6. Step 6: Final answer
    x = 12,217.80

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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.