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Finding the Fourth Proportional to 20,216, 27,902.88 and 11,833.92

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Solution

The fourth proportional to 20,216, 27,902.88 and 11,833.92 is: 16,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 27,902.88 = 11,833.92 : x
  2. Step 2: Convert to fraction form
    20,216/27,902.88 = 11,833.92/x
  3. Step 3: Cross multiply
    20,216x = 27,902.88 × 11,833.92
  4. Step 4: Simplify right side
    20,216x = 330,200,449.69
  5. Step 5: Solve for x
    x = 330,200,449.69/20,216
  6. Step 6: Final answer
    x = 16,333.62

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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.