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Finding the Fourth Proportional to 20,465.25, 30,697.89 and 8,161.89

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Solution

The fourth proportional to 20,465.25, 30,697.89 and 8,161.89 is: 12,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.25 : 30,697.89 = 8,161.89 : x
  2. Step 2: Convert to fraction form
    20,465.25/30,697.89 = 8,161.89/x
  3. Step 3: Cross multiply
    20,465.25x = 30,697.89 × 8,161.89
  4. Step 4: Simplify right side
    20,465.25x = 250,552,801.41
  5. Step 5: Solve for x
    x = 250,552,801.41/20,465.25
  6. Step 6: Final answer
    x = 12,242.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.