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Finding the Fourth Proportional to 2,605.80, 3,909.04 and 850.19

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Solution

The fourth proportional to 2,605.80, 3,909.04 and 850.19 is: 1,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.80 : 3,909.04 = 850.19 : x
  2. Step 2: Convert to fraction form
    2,605.80/3,909.04 = 850.19/x
  3. Step 3: Cross multiply
    2,605.80x = 3,909.04 × 850.19
  4. Step 4: Simplify right side
    2,605.80x = 3,323,405.05
  5. Step 5: Solve for x
    x = 3,323,405.05/2,605.80
  6. Step 6: Final answer
    x = 1,275.39

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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.