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Finding the Fourth Proportional to 3,956.40, 5,454 and 2,906.64

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Solution

The fourth proportional to 3,956.40, 5,454 and 2,906.64 is: 4,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.40 : 5,454 = 2,906.64 : x
  2. Step 2: Convert to fraction form
    3,956.40/5,454 = 2,906.64/x
  3. Step 3: Cross multiply
    3,956.40x = 5,454 × 2,906.64
  4. Step 4: Simplify right side
    3,956.40x = 15,852,814.56
  5. Step 5: Solve for x
    x = 15,852,814.56/3,956.40
  6. Step 6: Final answer
    x = 4,006.88

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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.