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Finding the Fourth Proportional to 20,023, 30,034.92 and 6,172

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Solution

The fourth proportional to 20,023, 30,034.92 and 6,172 is: 9,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023 : 30,034.92 = 6,172 : x
  2. Step 2: Convert to fraction form
    20,023/30,034.92 = 6,172/x
  3. Step 3: Cross multiply
    20,023x = 30,034.92 × 6,172
  4. Step 4: Simplify right side
    20,023x = 185,375,526.24
  5. Step 5: Solve for x
    x = 185,375,526.24/20,023
  6. Step 6: Final answer
    x = 9,258.13

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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.