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Finding the Fourth Proportional to 20,172, 30,258 and 6,321

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Solution

The fourth proportional to 20,172, 30,258 and 6,321 is: 9,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172 : 30,258 = 6,321 : x
  2. Step 2: Convert to fraction form
    20,172/30,258 = 6,321/x
  3. Step 3: Cross multiply
    20,172x = 30,258 × 6,321
  4. Step 4: Simplify right side
    20,172x = 191,260,818
  5. Step 5: Solve for x
    x = 191,260,818/20,172
  6. Step 6: Final answer
    x = 9,481.50

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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.