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Finding the Fourth Proportional to 6,540.80, 9,027.84 and 4,305.68

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Solution

The fourth proportional to 6,540.80, 9,027.84 and 4,305.68 is: 5,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.80 : 9,027.84 = 4,305.68 : x
  2. Step 2: Convert to fraction form
    6,540.80/9,027.84 = 4,305.68/x
  3. Step 3: Cross multiply
    6,540.80x = 9,027.84 × 4,305.68
  4. Step 4: Simplify right side
    6,540.80x = 38,870,990.13
  5. Step 5: Solve for x
    x = 38,870,990.13/6,540.80
  6. Step 6: Final answer
    x = 5,942.85

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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.