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Finding the Fourth Proportional to 21,868, 30,178.80 and 11,932

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Solution

The fourth proportional to 21,868, 30,178.80 and 11,932 is: 16,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868 : 30,178.80 = 11,932 : x
  2. Step 2: Convert to fraction form
    21,868/30,178.80 = 11,932/x
  3. Step 3: Cross multiply
    21,868x = 30,178.80 × 11,932
  4. Step 4: Simplify right side
    21,868x = 360,093,441.60
  5. Step 5: Solve for x
    x = 360,093,441.60/21,868
  6. Step 6: Final answer
    x = 16,466.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.