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Finding the Fourth Proportional to 21,808, 30,095.04 and 11,872

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Solution

The fourth proportional to 21,808, 30,095.04 and 11,872 is: 16,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808 : 30,095.04 = 11,872 : x
  2. Step 2: Convert to fraction form
    21,808/30,095.04 = 11,872/x
  3. Step 3: Cross multiply
    21,808x = 30,095.04 × 11,872
  4. Step 4: Simplify right side
    21,808x = 357,288,314.88
  5. Step 5: Solve for x
    x = 357,288,314.88/21,808
  6. Step 6: Final answer
    x = 16,383.36

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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.