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Finding the Fourth Proportional to 17,927, 26,890.50 and 8,538.56

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Solution

The fourth proportional to 17,927, 26,890.50 and 8,538.56 is: 12,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927 : 26,890.50 = 8,538.56 : x
  2. Step 2: Convert to fraction form
    17,927/26,890.50 = 8,538.56/x
  3. Step 3: Cross multiply
    17,927x = 26,890.50 × 8,538.56
  4. Step 4: Simplify right side
    17,927x = 229,606,147.68
  5. Step 5: Solve for x
    x = 229,606,147.68/17,927
  6. Step 6: Final answer
    x = 12,807.84

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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.