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Finding the Fourth Proportional to 6,714, 10,063.80 and 3,243.60

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Solution

The fourth proportional to 6,714, 10,063.80 and 3,243.60 is: 4,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 10,063.80 = 3,243.60 : x
  2. Step 2: Convert to fraction form
    6,714/10,063.80 = 3,243.60/x
  3. Step 3: Cross multiply
    6,714x = 10,063.80 × 3,243.60
  4. Step 4: Simplify right side
    6,714x = 32,642,941.68
  5. Step 5: Solve for x
    x = 32,642,941.68/6,714
  6. Step 6: Final answer
    x = 4,861.92

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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.