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Finding the Fourth Proportional to 20,295, 30,442.56 and 7,983

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Solution

The fourth proportional to 20,295, 30,442.56 and 7,983 is: 11,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295 : 30,442.56 = 7,983 : x
  2. Step 2: Convert to fraction form
    20,295/30,442.56 = 7,983/x
  3. Step 3: Cross multiply
    20,295x = 30,442.56 × 7,983
  4. Step 4: Simplify right side
    20,295x = 243,022,956.48
  5. Step 5: Solve for x
    x = 243,022,956.48/20,295
  6. Step 6: Final answer
    x = 11,974.52

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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.