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Finding the Fourth Proportional to 20,609.12, 28,438 and 12,224

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Solution

The fourth proportional to 20,609.12, 28,438 and 12,224 is: 16,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.12 : 28,438 = 12,224 : x
  2. Step 2: Convert to fraction form
    20,609.12/28,438 = 12,224/x
  3. Step 3: Cross multiply
    20,609.12x = 28,438 × 12,224
  4. Step 4: Simplify right side
    20,609.12x = 347,626,112
  5. Step 5: Solve for x
    x = 347,626,112/20,609.12
  6. Step 6: Final answer
    x = 16,867.59

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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.