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Finding the Fourth Proportional to 6,678.77, 9,216.86 and 3,694.65

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Solution

The fourth proportional to 6,678.77, 9,216.86 and 3,694.65 is: 5,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.77 : 9,216.86 = 3,694.65 : x
  2. Step 2: Convert to fraction form
    6,678.77/9,216.86 = 3,694.65/x
  3. Step 3: Cross multiply
    6,678.77x = 9,216.86 × 3,694.65
  4. Step 4: Simplify right side
    6,678.77x = 34,053,053.33
  5. Step 5: Solve for x
    x = 34,053,053.33/6,678.77
  6. Step 6: Final answer
    x = 5,098.71

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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.