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Finding the Fourth Proportional to 20,242, 30,363 and 6,391

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Solution

The fourth proportional to 20,242, 30,363 and 6,391 is: 9,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 30,363 = 6,391 : x
  2. Step 2: Convert to fraction form
    20,242/30,363 = 6,391/x
  3. Step 3: Cross multiply
    20,242x = 30,363 × 6,391
  4. Step 4: Simplify right side
    20,242x = 194,049,933
  5. Step 5: Solve for x
    x = 194,049,933/20,242
  6. Step 6: Final answer
    x = 9,586.50

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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.