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Finding the Fourth Proportional to 15,092.92, 20,824 and 9,433.42

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Solution

The fourth proportional to 15,092.92, 20,824 and 9,433.42 is: 13,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.92 : 20,824 = 9,433.42 : x
  2. Step 2: Convert to fraction form
    15,092.92/20,824 = 9,433.42/x
  3. Step 3: Cross multiply
    15,092.92x = 20,824 × 9,433.42
  4. Step 4: Simplify right side
    15,092.92x = 196,441,538.08
  5. Step 5: Solve for x
    x = 196,441,538.08/15,092.92
  6. Step 6: Final answer
    x = 13,015.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.