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Finding the Fourth Proportional to 20,784.96, 28,672.97 and 12,282.97

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Solution

The fourth proportional to 20,784.96, 28,672.97 and 12,282.97 is: 16,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.96 : 28,672.97 = 12,282.97 : x
  2. Step 2: Convert to fraction form
    20,784.96/28,672.97 = 12,282.97/x
  3. Step 3: Cross multiply
    20,784.96x = 28,672.97 × 12,282.97
  4. Step 4: Simplify right side
    20,784.96x = 352,189,097.22
  5. Step 5: Solve for x
    x = 352,189,097.22/20,784.96
  6. Step 6: Final answer
    x = 16,944.42

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1.5x scale

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.