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Finding the Fourth Proportional to 3,909, 5,863.74 and 1,173

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Solution

The fourth proportional to 3,909, 5,863.74 and 1,173 is: 1,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909 : 5,863.74 = 1,173 : x
  2. Step 2: Convert to fraction form
    3,909/5,863.74 = 1,173/x
  3. Step 3: Cross multiply
    3,909x = 5,863.74 × 1,173
  4. Step 4: Simplify right side
    3,909x = 6,878,167.02
  5. Step 5: Solve for x
    x = 6,878,167.02/3,909
  6. Step 6: Final answer
    x = 1,759.57

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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.