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Finding the Fourth Proportional to 3,857.64, 5,777.23 and 3,663.88

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Solution

The fourth proportional to 3,857.64, 5,777.23 and 3,663.88 is: 5,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.64 : 5,777.23 = 3,663.88 : x
  2. Step 2: Convert to fraction form
    3,857.64/5,777.23 = 3,663.88/x
  3. Step 3: Cross multiply
    3,857.64x = 5,777.23 × 3,663.88
  4. Step 4: Simplify right side
    3,857.64x = 21,167,077.45
  5. Step 5: Solve for x
    x = 21,167,077.45/3,857.64
  6. Step 6: Final answer
    x = 5,487.05

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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.