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Finding the Fourth Proportional to 2,605.63, 3,909.21 and 850.96

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Solution

The fourth proportional to 2,605.63, 3,909.21 and 850.96 is: 1,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.63 : 3,909.21 = 850.96 : x
  2. Step 2: Convert to fraction form
    2,605.63/3,909.21 = 850.96/x
  3. Step 3: Cross multiply
    2,605.63x = 3,909.21 × 850.96
  4. Step 4: Simplify right side
    2,605.63x = 3,326,586.23
  5. Step 5: Solve for x
    x = 3,326,586.23/2,605.63
  6. Step 6: Final answer
    x = 1,276.69

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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.