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Finding the Fourth Proportional to 20,460.48, 30,691.31 and 7,980

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Solution

The fourth proportional to 20,460.48, 30,691.31 and 7,980 is: 11,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.48 : 30,691.31 = 7,980 : x
  2. Step 2: Convert to fraction form
    20,460.48/30,691.31 = 7,980/x
  3. Step 3: Cross multiply
    20,460.48x = 30,691.31 × 7,980
  4. Step 4: Simplify right side
    20,460.48x = 244,916,653.80
  5. Step 5: Solve for x
    x = 244,916,653.80/20,460.48
  6. Step 6: Final answer
    x = 11,970.23

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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.