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Finding the Fourth Proportional to 27,293, 40,939.50 and 8,825

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Solution

The fourth proportional to 27,293, 40,939.50 and 8,825 is: 13,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293 : 40,939.50 = 8,825 : x
  2. Step 2: Convert to fraction form
    27,293/40,939.50 = 8,825/x
  3. Step 3: Cross multiply
    27,293x = 40,939.50 × 8,825
  4. Step 4: Simplify right side
    27,293x = 361,291,087.50
  5. Step 5: Solve for x
    x = 361,291,087.50/27,293
  6. Step 6: Final answer
    x = 13,237.50

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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.