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Finding the Fourth Proportional to 6,682.64, 9,221.89 and 3,657.76

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Solution

The fourth proportional to 6,682.64, 9,221.89 and 3,657.76 is: 5,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.64 : 9,221.89 = 3,657.76 : x
  2. Step 2: Convert to fraction form
    6,682.64/9,221.89 = 3,657.76/x
  3. Step 3: Cross multiply
    6,682.64x = 9,221.89 × 3,657.76
  4. Step 4: Simplify right side
    6,682.64x = 33,731,431.45
  5. Step 5: Solve for x
    x = 33,731,431.45/6,682.64
  6. Step 6: Final answer
    x = 5,047.62

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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.