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Finding the Fourth Proportional to 20,867, 28,797.74 and 12,035

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Solution

The fourth proportional to 20,867, 28,797.74 and 12,035 is: 16,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867 : 28,797.74 = 12,035 : x
  2. Step 2: Convert to fraction form
    20,867/28,797.74 = 12,035/x
  3. Step 3: Cross multiply
    20,867x = 28,797.74 × 12,035
  4. Step 4: Simplify right side
    20,867x = 346,580,800.90
  5. Step 5: Solve for x
    x = 346,580,800.90/20,867
  6. Step 6: Final answer
    x = 16,609.04

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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.