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Finding the Fourth Proportional to 2,564.60, 3,847.43 and 834.44

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Solution

The fourth proportional to 2,564.60, 3,847.43 and 834.44 is: 1,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.60 : 3,847.43 = 834.44 : x
  2. Step 2: Convert to fraction form
    2,564.60/3,847.43 = 834.44/x
  3. Step 3: Cross multiply
    2,564.60x = 3,847.43 × 834.44
  4. Step 4: Simplify right side
    2,564.60x = 3,210,432.34
  5. Step 5: Solve for x
    x = 3,210,432.34/2,564.60
  6. Step 6: Final answer
    x = 1,251.83

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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.