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Finding the Fourth Proportional to 21,903, 30,226.18 and 11,967

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Solution

The fourth proportional to 21,903, 30,226.18 and 11,967 is: 16,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903 : 30,226.18 = 11,967 : x
  2. Step 2: Convert to fraction form
    21,903/30,226.18 = 11,967/x
  3. Step 3: Cross multiply
    21,903x = 30,226.18 × 11,967
  4. Step 4: Simplify right side
    21,903x = 361,716,696.06
  5. Step 5: Solve for x
    x = 361,716,696.06/21,903
  6. Step 6: Final answer
    x = 16,514.48

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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.