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Finding the Fourth Proportional to 20,657.44, 30,975.16 and 8,176.96

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Solution

The fourth proportional to 20,657.44, 30,975.16 and 8,176.96 is: 12,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.44 : 30,975.16 = 8,176.96 : x
  2. Step 2: Convert to fraction form
    20,657.44/30,975.16 = 8,176.96/x
  3. Step 3: Cross multiply
    20,657.44x = 30,975.16 × 8,176.96
  4. Step 4: Simplify right side
    20,657.44x = 253,282,644.31
  5. Step 5: Solve for x
    x = 253,282,644.31/20,657.44
  6. Step 6: Final answer
    x = 12,261.09

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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.