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Finding the Fourth Proportional to 6,855.60, 9,476.28 and 6,311.28

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Solution

The fourth proportional to 6,855.60, 9,476.28 and 6,311.28 is: 8,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.60 : 9,476.28 = 6,311.28 : x
  2. Step 2: Convert to fraction form
    6,855.60/9,476.28 = 6,311.28/x
  3. Step 3: Cross multiply
    6,855.60x = 9,476.28 × 6,311.28
  4. Step 4: Simplify right side
    6,855.60x = 59,807,456.44
  5. Step 5: Solve for x
    x = 59,807,456.44/6,855.60
  6. Step 6: Final answer
    x = 8,723.88

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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.