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Finding the Fourth Proportional to 20,496, 30,744 and 6,645

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Solution

The fourth proportional to 20,496, 30,744 and 6,645 is: 9,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496 : 30,744 = 6,645 : x
  2. Step 2: Convert to fraction form
    20,496/30,744 = 6,645/x
  3. Step 3: Cross multiply
    20,496x = 30,744 × 6,645
  4. Step 4: Simplify right side
    20,496x = 204,293,880
  5. Step 5: Solve for x
    x = 204,293,880/20,496
  6. Step 6: Final answer
    x = 9,967.50

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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.