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Finding the Fourth Proportional to 3,663.72, 5,057.06 and 3,171.65

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Solution

The fourth proportional to 3,663.72, 5,057.06 and 3,171.65 is: 4,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.72 : 5,057.06 = 3,171.65 : x
  2. Step 2: Convert to fraction form
    3,663.72/5,057.06 = 3,171.65/x
  3. Step 3: Cross multiply
    3,663.72x = 5,057.06 × 3,171.65
  4. Step 4: Simplify right side
    3,663.72x = 16,039,183.21
  5. Step 5: Solve for x
    x = 16,039,183.21/3,663.72
  6. Step 6: Final answer
    x = 4,377.84

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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.