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Finding the Fourth Proportional to 27,210, 40,815 and 10,794

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Solution

The fourth proportional to 27,210, 40,815 and 10,794 is: 16,191

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210 : 40,815 = 10,794 : x
  2. Step 2: Convert to fraction form
    27,210/40,815 = 10,794/x
  3. Step 3: Cross multiply
    27,210x = 40,815 × 10,794
  4. Step 4: Simplify right side
    27,210x = 440,557,110
  5. Step 5: Solve for x
    x = 440,557,110/27,210
  6. Step 6: Final answer
    x = 16,191

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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.