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Finding the Fourth Proportional to 3,934.60, 5,901.90 and 3,675.40

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Solution

The fourth proportional to 3,934.60, 5,901.90 and 3,675.40 is: 5,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.60 : 5,901.90 = 3,675.40 : x
  2. Step 2: Convert to fraction form
    3,934.60/5,901.90 = 3,675.40/x
  3. Step 3: Cross multiply
    3,934.60x = 5,901.90 × 3,675.40
  4. Step 4: Simplify right side
    3,934.60x = 21,691,843.26
  5. Step 5: Solve for x
    x = 21,691,843.26/3,934.60
  6. Step 6: Final answer
    x = 5,513.10

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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.