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Finding the Fourth Proportional to 6,286.58, 8,675.43 and 3,454

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Solution

The fourth proportional to 6,286.58, 8,675.43 and 3,454 is: 4,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.58 : 8,675.43 = 3,454 : x
  2. Step 2: Convert to fraction form
    6,286.58/8,675.43 = 3,454/x
  3. Step 3: Cross multiply
    6,286.58x = 8,675.43 × 3,454
  4. Step 4: Simplify right side
    6,286.58x = 29,964,935.22
  5. Step 5: Solve for x
    x = 29,964,935.22/6,286.58
  6. Step 6: Final answer
    x = 4,766.49

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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.