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Finding the Fourth Proportional to 3,978.28, 5,490.09 and 2,406.39

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Solution

The fourth proportional to 3,978.28, 5,490.09 and 2,406.39 is: 3,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.28 : 5,490.09 = 2,406.39 : x
  2. Step 2: Convert to fraction form
    3,978.28/5,490.09 = 2,406.39/x
  3. Step 3: Cross multiply
    3,978.28x = 5,490.09 × 2,406.39
  4. Step 4: Simplify right side
    3,978.28x = 13,211,297.68
  5. Step 5: Solve for x
    x = 13,211,297.68/3,978.28
  6. Step 6: Final answer
    x = 3,320.86

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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.