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Finding the Fourth Proportional to 21,884, 30,200 and 11,948

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Solution

The fourth proportional to 21,884, 30,200 and 11,948 is: 16,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 30,200 = 11,948 : x
  2. Step 2: Convert to fraction form
    21,884/30,200 = 11,948/x
  3. Step 3: Cross multiply
    21,884x = 30,200 × 11,948
  4. Step 4: Simplify right side
    21,884x = 360,829,600
  5. Step 5: Solve for x
    x = 360,829,600/21,884
  6. Step 6: Final answer
    x = 16,488.28

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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.