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Finding the Fourth Proportional to 12,893.92, 17,781.60 and 8,169.76

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Solution

The fourth proportional to 12,893.92, 17,781.60 and 8,169.76 is: 11,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.92 : 17,781.60 = 8,169.76 : x
  2. Step 2: Convert to fraction form
    12,893.92/17,781.60 = 8,169.76/x
  3. Step 3: Cross multiply
    12,893.92x = 17,781.60 × 8,169.76
  4. Step 4: Simplify right side
    12,893.92x = 145,271,404.42
  5. Step 5: Solve for x
    x = 145,271,404.42/12,893.92
  6. Step 6: Final answer
    x = 11,266.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.