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Finding the Fourth Proportional to 6,286.65, 8,675.11 and 3,634

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Solution

The fourth proportional to 6,286.65, 8,675.11 and 3,634 is: 5,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.65 : 8,675.11 = 3,634 : x
  2. Step 2: Convert to fraction form
    6,286.65/8,675.11 = 3,634/x
  3. Step 3: Cross multiply
    6,286.65x = 8,675.11 × 3,634
  4. Step 4: Simplify right side
    6,286.65x = 31,525,349.74
  5. Step 5: Solve for x
    x = 31,525,349.74/6,286.65
  6. Step 6: Final answer
    x = 5,014.65

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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.