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Finding the Fourth Proportional to 20,883, 31,324.50 and 7,032

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Solution

The fourth proportional to 20,883, 31,324.50 and 7,032 is: 10,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883 : 31,324.50 = 7,032 : x
  2. Step 2: Convert to fraction form
    20,883/31,324.50 = 7,032/x
  3. Step 3: Cross multiply
    20,883x = 31,324.50 × 7,032
  4. Step 4: Simplify right side
    20,883x = 220,273,884
  5. Step 5: Solve for x
    x = 220,273,884/20,883
  6. Step 6: Final answer
    x = 10,548

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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.