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Finding the Fourth Proportional to 20,644.72, 30,968.52 and 8,958.64

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Solution

The fourth proportional to 20,644.72, 30,968.52 and 8,958.64 is: 13,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.72 : 30,968.52 = 8,958.64 : x
  2. Step 2: Convert to fraction form
    20,644.72/30,968.52 = 8,958.64/x
  3. Step 3: Cross multiply
    20,644.72x = 30,968.52 × 8,958.64
  4. Step 4: Simplify right side
    20,644.72x = 277,435,822.01
  5. Step 5: Solve for x
    x = 277,435,822.01/20,644.72
  6. Step 6: Final answer
    x = 13,438.58

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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.