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Finding the Fourth Proportional to 12,270.88, 16,922.64 and 8,018.08

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Solution

The fourth proportional to 12,270.88, 16,922.64 and 8,018.08 is: 11,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.88 : 16,922.64 = 8,018.08 : x
  2. Step 2: Convert to fraction form
    12,270.88/16,922.64 = 8,018.08/x
  3. Step 3: Cross multiply
    12,270.88x = 16,922.64 × 8,018.08
  4. Step 4: Simplify right side
    12,270.88x = 135,687,081.33
  5. Step 5: Solve for x
    x = 135,687,081.33/12,270.88
  6. Step 6: Final answer
    x = 11,057.65

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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.