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Finding the Fourth Proportional to 12,896.64, 17,789.76 and 8,173.44

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Solution

The fourth proportional to 12,896.64, 17,789.76 and 8,173.44 is: 11,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.64 : 17,789.76 = 8,173.44 : x
  2. Step 2: Convert to fraction form
    12,896.64/17,789.76 = 8,173.44/x
  3. Step 3: Cross multiply
    12,896.64x = 17,789.76 × 8,173.44
  4. Step 4: Simplify right side
    12,896.64x = 145,403,535.97
  5. Step 5: Solve for x
    x = 145,403,535.97/12,896.64
  6. Step 6: Final answer
    x = 11,274.53

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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.