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Finding the Fourth Proportional to 2,641.71, 3,956.34 and 2,094.20

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Solution

The fourth proportional to 2,641.71, 3,956.34 and 2,094.20 is: 3,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.71 : 3,956.34 = 2,094.20 : x
  2. Step 2: Convert to fraction form
    2,641.71/3,956.34 = 2,094.20/x
  3. Step 3: Cross multiply
    2,641.71x = 3,956.34 × 2,094.20
  4. Step 4: Simplify right side
    2,641.71x = 8,285,392.39
  5. Step 5: Solve for x
    x = 8,285,392.39/2,641.71
  6. Step 6: Final answer
    x = 3,136.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.