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Finding the Fourth Proportional to 14,765, 20,375.70 and 8,141

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Solution

The fourth proportional to 14,765, 20,375.70 and 8,141 is: 11,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765 : 20,375.70 = 8,141 : x
  2. Step 2: Convert to fraction form
    14,765/20,375.70 = 8,141/x
  3. Step 3: Cross multiply
    14,765x = 20,375.70 × 8,141
  4. Step 4: Simplify right side
    14,765x = 165,878,573.70
  5. Step 5: Solve for x
    x = 165,878,573.70/14,765
  6. Step 6: Final answer
    x = 11,234.58

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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.