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Finding the Fourth Proportional to 3,956.71, 5,456.64 and 3,397.00

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Solution

The fourth proportional to 3,956.71, 5,456.64 and 3,397.00 is: 4,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.71 : 5,456.64 = 3,397.00 : x
  2. Step 2: Convert to fraction form
    3,956.71/5,456.64 = 3,397.00/x
  3. Step 3: Cross multiply
    3,956.71x = 5,456.64 × 3,397.00
  4. Step 4: Simplify right side
    3,956.71x = 18,536,205.18
  5. Step 5: Solve for x
    x = 18,536,205.18/3,956.71
  6. Step 6: Final answer
    x = 4,684.75

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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.