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Finding the Fourth Proportional to 20,944, 28,903.86 and 11,989.42

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Solution

The fourth proportional to 20,944, 28,903.86 and 11,989.42 is: 16,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944 : 28,903.86 = 11,989.42 : x
  2. Step 2: Convert to fraction form
    20,944/28,903.86 = 11,989.42/x
  3. Step 3: Cross multiply
    20,944x = 28,903.86 × 11,989.42
  4. Step 4: Simplify right side
    20,944x = 346,540,517.16
  5. Step 5: Solve for x
    x = 346,540,517.16/20,944
  6. Step 6: Final answer
    x = 16,546.05

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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.