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Finding the Fourth Proportional to 6,165, 8,507.82 and 3,681

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Solution

The fourth proportional to 6,165, 8,507.82 and 3,681 is: 5,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165 : 8,507.82 = 3,681 : x
  2. Step 2: Convert to fraction form
    6,165/8,507.82 = 3,681/x
  3. Step 3: Cross multiply
    6,165x = 8,507.82 × 3,681
  4. Step 4: Simplify right side
    6,165x = 31,317,285.42
  5. Step 5: Solve for x
    x = 31,317,285.42/6,165
  6. Step 6: Final answer
    x = 5,079.85

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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.