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Finding the Fourth Proportional to 20,553, 30,834.36 and 6,702

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Solution

The fourth proportional to 20,553, 30,834.36 and 6,702 is: 10,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553 : 30,834.36 = 6,702 : x
  2. Step 2: Convert to fraction form
    20,553/30,834.36 = 6,702/x
  3. Step 3: Cross multiply
    20,553x = 30,834.36 × 6,702
  4. Step 4: Simplify right side
    20,553x = 206,651,880.72
  5. Step 5: Solve for x
    x = 206,651,880.72/20,553
  6. Step 6: Final answer
    x = 10,054.58

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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.