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Finding the Fourth Proportional to 20,019, 30,028.50 and 5,427

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Solution

The fourth proportional to 20,019, 30,028.50 and 5,427 is: 8,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019 : 30,028.50 = 5,427 : x
  2. Step 2: Convert to fraction form
    20,019/30,028.50 = 5,427/x
  3. Step 3: Cross multiply
    20,019x = 30,028.50 × 5,427
  4. Step 4: Simplify right side
    20,019x = 162,964,669.50
  5. Step 5: Solve for x
    x = 162,964,669.50/20,019
  6. Step 6: Final answer
    x = 8,140.50

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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.