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Finding the Fourth Proportional to 20,743, 31,114.50 and 6,892

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Solution

The fourth proportional to 20,743, 31,114.50 and 6,892 is: 10,338

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,743 : 31,114.50 = 6,892 : x
  2. Step 2: Convert to fraction form
    20,743/31,114.50 = 6,892/x
  3. Step 3: Cross multiply
    20,743x = 31,114.50 × 6,892
  4. Step 4: Simplify right side
    20,743x = 214,441,134
  5. Step 5: Solve for x
    x = 214,441,134/20,743
  6. Step 6: Final answer
    x = 10,338

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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.