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Finding the Fourth Proportional to 27,868, 41,802 and 9,400

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Solution

The fourth proportional to 27,868, 41,802 and 9,400 is: 14,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868 : 41,802 = 9,400 : x
  2. Step 2: Convert to fraction form
    27,868/41,802 = 9,400/x
  3. Step 3: Cross multiply
    27,868x = 41,802 × 9,400
  4. Step 4: Simplify right side
    27,868x = 392,938,800
  5. Step 5: Solve for x
    x = 392,938,800/27,868
  6. Step 6: Final answer
    x = 14,100

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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.