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Finding the Fourth Proportional to 20,786, 31,179.27 and 6,935

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Solution

The fourth proportional to 20,786, 31,179.27 and 6,935 is: 10,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786 : 31,179.27 = 6,935 : x
  2. Step 2: Convert to fraction form
    20,786/31,179.27 = 6,935/x
  3. Step 3: Cross multiply
    20,786x = 31,179.27 × 6,935
  4. Step 4: Simplify right side
    20,786x = 216,228,237.45
  5. Step 5: Solve for x
    x = 216,228,237.45/20,786
  6. Step 6: Final answer
    x = 10,402.59

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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.