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Finding the Fourth Proportional to 17,146.86, 25,717.14 and 7,784.64

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Solution

The fourth proportional to 17,146.86, 25,717.14 and 7,784.64 is: 11,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.86 : 25,717.14 = 7,784.64 : x
  2. Step 2: Convert to fraction form
    17,146.86/25,717.14 = 7,784.64/x
  3. Step 3: Cross multiply
    17,146.86x = 25,717.14 × 7,784.64
  4. Step 4: Simplify right side
    17,146.86x = 200,198,676.73
  5. Step 5: Solve for x
    x = 200,198,676.73/17,146.86
  6. Step 6: Final answer
    x = 11,675.53

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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.