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Finding the Fourth Proportional to 21,839, 30,137.90 and 11,903

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Solution

The fourth proportional to 21,839, 30,137.90 and 11,903 is: 16,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839 : 30,137.90 = 11,903 : x
  2. Step 2: Convert to fraction form
    21,839/30,137.90 = 11,903/x
  3. Step 3: Cross multiply
    21,839x = 30,137.90 × 11,903
  4. Step 4: Simplify right side
    21,839x = 358,731,423.70
  5. Step 5: Solve for x
    x = 358,731,423.70/21,839
  6. Step 6: Final answer
    x = 16,426.18

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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.