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Finding the Fourth Proportional to 20,768, 31,164.96 and 8,456

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Solution

The fourth proportional to 20,768, 31,164.96 and 8,456 is: 12,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 31,164.96 = 8,456 : x
  2. Step 2: Convert to fraction form
    20,768/31,164.96 = 8,456/x
  3. Step 3: Cross multiply
    20,768x = 31,164.96 × 8,456
  4. Step 4: Simplify right side
    20,768x = 263,530,901.76
  5. Step 5: Solve for x
    x = 263,530,901.76/20,768
  6. Step 6: Final answer
    x = 12,689.28

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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.