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Finding the Fourth Proportional to 6,394.45, 8,824.18 and 6,205.82

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Solution

The fourth proportional to 6,394.45, 8,824.18 and 6,205.82 is: 8,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.45 : 8,824.18 = 6,205.82 : x
  2. Step 2: Convert to fraction form
    6,394.45/8,824.18 = 6,205.82/x
  3. Step 3: Cross multiply
    6,394.45x = 8,824.18 × 6,205.82
  4. Step 4: Simplify right side
    6,394.45x = 54,761,272.73
  5. Step 5: Solve for x
    x = 54,761,272.73/6,394.45
  6. Step 6: Final answer
    x = 8,563.88

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1.5x scale

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.