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Finding the Fourth Proportional to 21,836, 30,133.76 and 11,900

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Solution

The fourth proportional to 21,836, 30,133.76 and 11,900 is: 16,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836 : 30,133.76 = 11,900 : x
  2. Step 2: Convert to fraction form
    21,836/30,133.76 = 11,900/x
  3. Step 3: Cross multiply
    21,836x = 30,133.76 × 11,900
  4. Step 4: Simplify right side
    21,836x = 358,591,744
  5. Step 5: Solve for x
    x = 358,591,744/21,836
  6. Step 6: Final answer
    x = 16,422.04

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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.