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Finding the Fourth Proportional to 20,017, 30,025.50 and 5,425

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Solution

The fourth proportional to 20,017, 30,025.50 and 5,425 is: 8,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017 : 30,025.50 = 5,425 : x
  2. Step 2: Convert to fraction form
    20,017/30,025.50 = 5,425/x
  3. Step 3: Cross multiply
    20,017x = 30,025.50 × 5,425
  4. Step 4: Simplify right side
    20,017x = 162,888,337.50
  5. Step 5: Solve for x
    x = 162,888,337.50/20,017
  6. Step 6: Final answer
    x = 8,137.50

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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.