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Finding the Fourth Proportional to 6,786.72, 9,366.84 and 3,992.76

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Solution

The fourth proportional to 6,786.72, 9,366.84 and 3,992.76 is: 5,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.72 : 9,366.84 = 3,992.76 : x
  2. Step 2: Convert to fraction form
    6,786.72/9,366.84 = 3,992.76/x
  3. Step 3: Cross multiply
    6,786.72x = 9,366.84 × 3,992.76
  4. Step 4: Simplify right side
    6,786.72x = 37,399,544.08
  5. Step 5: Solve for x
    x = 37,399,544.08/6,786.72
  6. Step 6: Final answer
    x = 5,510.70

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Half scale
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Double scale
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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.