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Finding the Fourth Proportional to 5,909, 8,154.42 and 3,701

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Solution

The fourth proportional to 5,909, 8,154.42 and 3,701 is: 5,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909 : 8,154.42 = 3,701 : x
  2. Step 2: Convert to fraction form
    5,909/8,154.42 = 3,701/x
  3. Step 3: Cross multiply
    5,909x = 8,154.42 × 3,701
  4. Step 4: Simplify right side
    5,909x = 30,179,508.42
  5. Step 5: Solve for x
    x = 30,179,508.42/5,909
  6. Step 6: Final answer
    x = 5,107.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.