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Finding the Fourth Proportional to 19,481.76, 26,882.64 and 11,414.88

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Solution

The fourth proportional to 19,481.76, 26,882.64 and 11,414.88 is: 15,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481.76 : 26,882.64 = 11,414.88 : x
  2. Step 2: Convert to fraction form
    19,481.76/26,882.64 = 11,414.88/x
  3. Step 3: Cross multiply
    19,481.76x = 26,882.64 × 11,414.88
  4. Step 4: Simplify right side
    19,481.76x = 306,862,109.68
  5. Step 5: Solve for x
    x = 306,862,109.68/19,481.76
  6. Step 6: Final answer
    x = 15,751.25

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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.