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Finding the Fourth Proportional to 3,666.82, 5,489.50 and 2,275.96

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Solution

The fourth proportional to 3,666.82, 5,489.50 and 2,275.96 is: 3,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.82 : 5,489.50 = 2,275.96 : x
  2. Step 2: Convert to fraction form
    3,666.82/5,489.50 = 2,275.96/x
  3. Step 3: Cross multiply
    3,666.82x = 5,489.50 × 2,275.96
  4. Step 4: Simplify right side
    3,666.82x = 12,493,882.42
  5. Step 5: Solve for x
    x = 12,493,882.42/3,666.82
  6. Step 6: Final answer
    x = 3,407.28

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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.