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Finding the Fourth Proportional to 3,970.82, 5,479.64 and 2,202.42

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Solution

The fourth proportional to 3,970.82, 5,479.64 and 2,202.42 is: 3,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.82 : 5,479.64 = 2,202.42 : x
  2. Step 2: Convert to fraction form
    3,970.82/5,479.64 = 2,202.42/x
  3. Step 3: Cross multiply
    3,970.82x = 5,479.64 × 2,202.42
  4. Step 4: Simplify right side
    3,970.82x = 12,068,468.73
  5. Step 5: Solve for x
    x = 12,068,468.73/3,970.82
  6. Step 6: Final answer
    x = 3,039.29

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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.