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Finding the Fourth Proportional to 19,333.57, 26,680.41 and 11,272

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Solution

The fourth proportional to 19,333.57, 26,680.41 and 11,272 is: 15,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333.57 : 26,680.41 = 11,272 : x
  2. Step 2: Convert to fraction form
    19,333.57/26,680.41 = 11,272/x
  3. Step 3: Cross multiply
    19,333.57x = 26,680.41 × 11,272
  4. Step 4: Simplify right side
    19,333.57x = 300,741,581.52
  5. Step 5: Solve for x
    x = 300,741,581.52/19,333.57
  6. Step 6: Final answer
    x = 15,555.41

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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.