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Finding the Fourth Proportional to 20,970, 31,456.80 and 6,930

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Solution

The fourth proportional to 20,970, 31,456.80 and 6,930 is: 10,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 31,456.80 = 6,930 : x
  2. Step 2: Convert to fraction form
    20,970/31,456.80 = 6,930/x
  3. Step 3: Cross multiply
    20,970x = 31,456.80 × 6,930
  4. Step 4: Simplify right side
    20,970x = 217,995,624
  5. Step 5: Solve for x
    x = 217,995,624/20,970
  6. Step 6: Final answer
    x = 10,395.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.