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Finding the Fourth Proportional to 20,609.68, 28,440.84 and 12,226

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Solution

The fourth proportional to 20,609.68, 28,440.84 and 12,226 is: 16,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.68 : 28,440.84 = 12,226 : x
  2. Step 2: Convert to fraction form
    20,609.68/28,440.84 = 12,226/x
  3. Step 3: Cross multiply
    20,609.68x = 28,440.84 × 12,226
  4. Step 4: Simplify right side
    20,609.68x = 347,717,709.84
  5. Step 5: Solve for x
    x = 347,717,709.84/20,609.68
  6. Step 6: Final answer
    x = 16,871.57

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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.