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Finding the Fourth Proportional to 15,940.76, 21,998.64 and 9,227

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Solution

The fourth proportional to 15,940.76, 21,998.64 and 9,227 is: 12,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940.76 : 21,998.64 = 9,227 : x
  2. Step 2: Convert to fraction form
    15,940.76/21,998.64 = 9,227/x
  3. Step 3: Cross multiply
    15,940.76x = 21,998.64 × 9,227
  4. Step 4: Simplify right side
    15,940.76x = 202,981,451.28
  5. Step 5: Solve for x
    x = 202,981,451.28/15,940.76
  6. Step 6: Final answer
    x = 12,733.49

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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.