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Finding the Fourth Proportional to 6,149, 8,485.62 and 3,665

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Solution

The fourth proportional to 6,149, 8,485.62 and 3,665 is: 5,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 8,485.62 = 3,665 : x
  2. Step 2: Convert to fraction form
    6,149/8,485.62 = 3,665/x
  3. Step 3: Cross multiply
    6,149x = 8,485.62 × 3,665
  4. Step 4: Simplify right side
    6,149x = 31,099,797.30
  5. Step 5: Solve for x
    x = 31,099,797.30/6,149
  6. Step 6: Final answer
    x = 5,057.70

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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.