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Finding the Fourth Proportional to 2,614.92, 3,922.15 and 859.88

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Solution

The fourth proportional to 2,614.92, 3,922.15 and 859.88 is: 1,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.92 : 3,922.15 = 859.88 : x
  2. Step 2: Convert to fraction form
    2,614.92/3,922.15 = 859.88/x
  3. Step 3: Cross multiply
    2,614.92x = 3,922.15 × 859.88
  4. Step 4: Simplify right side
    2,614.92x = 3,372,578.34
  5. Step 5: Solve for x
    x = 3,372,578.34/2,614.92
  6. Step 6: Final answer
    x = 1,289.74

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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.