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Finding the Fourth Proportional to 3,674.38, 5,070.21 and 2,081.21

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Solution

The fourth proportional to 3,674.38, 5,070.21 and 2,081.21 is: 2,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.38 : 5,070.21 = 2,081.21 : x
  2. Step 2: Convert to fraction form
    3,674.38/5,070.21 = 2,081.21/x
  3. Step 3: Cross multiply
    3,674.38x = 5,070.21 × 2,081.21
  4. Step 4: Simplify right side
    3,674.38x = 10,552,171.75
  5. Step 5: Solve for x
    x = 10,552,171.75/3,674.38
  6. Step 6: Final answer
    x = 2,871.82

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Half 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.