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Finding the Fourth Proportional to 20,756, 31,134.27 and 6,905

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Solution

The fourth proportional to 20,756, 31,134.27 and 6,905 is: 10,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756 : 31,134.27 = 6,905 : x
  2. Step 2: Convert to fraction form
    20,756/31,134.27 = 6,905/x
  3. Step 3: Cross multiply
    20,756x = 31,134.27 × 6,905
  4. Step 4: Simplify right side
    20,756x = 214,982,134.35
  5. Step 5: Solve for x
    x = 214,982,134.35/20,756
  6. Step 6: Final answer
    x = 10,357.59

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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.