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Finding the Fourth Proportional to 6,765.12, 9,342.24 and 6,396.96

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Solution

The fourth proportional to 6,765.12, 9,342.24 and 6,396.96 is: 8,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.12 : 9,342.24 = 6,396.96 : x
  2. Step 2: Convert to fraction form
    6,765.12/9,342.24 = 6,396.96/x
  3. Step 3: Cross multiply
    6,765.12x = 9,342.24 × 6,396.96
  4. Step 4: Simplify right side
    6,765.12x = 59,761,935.59
  5. Step 5: Solve for x
    x = 59,761,935.59/6,765.12
  6. Step 6: Final answer
    x = 8,833.83

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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.