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Finding the Fourth Proportional to 7,137.90, 9,850.14 and 3,994.11

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Solution

The fourth proportional to 7,137.90, 9,850.14 and 3,994.11 is: 5,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.90 : 9,850.14 = 3,994.11 : x
  2. Step 2: Convert to fraction form
    7,137.90/9,850.14 = 3,994.11/x
  3. Step 3: Cross multiply
    7,137.90x = 9,850.14 × 3,994.11
  4. Step 4: Simplify right side
    7,137.90x = 39,342,542.68
  5. Step 5: Solve for x
    x = 39,342,542.68/7,137.90
  6. Step 6: Final answer
    x = 5,511.78

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1.5x scale

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.