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Finding the Fourth Proportional to 17,540, 26,314.56 and 5,228

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Solution

The fourth proportional to 17,540, 26,314.56 and 5,228 is: 7,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540 : 26,314.56 = 5,228 : x
  2. Step 2: Convert to fraction form
    17,540/26,314.56 = 5,228/x
  3. Step 3: Cross multiply
    17,540x = 26,314.56 × 5,228
  4. Step 4: Simplify right side
    17,540x = 137,572,519.68
  5. Step 5: Solve for x
    x = 137,572,519.68/17,540
  6. Step 6: Final answer
    x = 7,843.36

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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.