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Finding the Fourth Proportional to 11,170, 16,733.08 and 7,659.44

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Solution

The fourth proportional to 11,170, 16,733.08 and 7,659.44 is: 11,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170 : 16,733.08 = 7,659.44 : x
  2. Step 2: Convert to fraction form
    11,170/16,733.08 = 7,659.44/x
  3. Step 3: Cross multiply
    11,170x = 16,733.08 × 7,659.44
  4. Step 4: Simplify right side
    11,170x = 128,166,022.28
  5. Step 5: Solve for x
    x = 128,166,022.28/11,170
  6. Step 6: Final answer
    x = 11,474.13

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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.