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Finding the Fourth Proportional to 17,647.34, 26,470.98 and 7,121.97

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Solution

The fourth proportional to 17,647.34, 26,470.98 and 7,121.97 is: 10,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.34 : 26,470.98 = 7,121.97 : x
  2. Step 2: Convert to fraction form
    17,647.34/26,470.98 = 7,121.97/x
  3. Step 3: Cross multiply
    17,647.34x = 26,470.98 × 7,121.97
  4. Step 4: Simplify right side
    17,647.34x = 188,525,525.43
  5. Step 5: Solve for x
    x = 188,525,525.43/17,647.34
  6. Step 6: Final answer
    x = 10,682.95

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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.