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Finding the Fourth Proportional to 21,867, 30,176.46 and 11,931

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Solution

The fourth proportional to 21,867, 30,176.46 and 11,931 is: 16,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 30,176.46 = 11,931 : x
  2. Step 2: Convert to fraction form
    21,867/30,176.46 = 11,931/x
  3. Step 3: Cross multiply
    21,867x = 30,176.46 × 11,931
  4. Step 4: Simplify right side
    21,867x = 360,035,344.26
  5. Step 5: Solve for x
    x = 360,035,344.26/21,867
  6. Step 6: Final answer
    x = 16,464.78

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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.