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Finding the Fourth Proportional to 7,135.87, 9,847.09 and 3,949.05

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Solution

The fourth proportional to 7,135.87, 9,847.09 and 3,949.05 is: 5,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.87 : 9,847.09 = 3,949.05 : x
  2. Step 2: Convert to fraction form
    7,135.87/9,847.09 = 3,949.05/x
  3. Step 3: Cross multiply
    7,135.87x = 9,847.09 × 3,949.05
  4. Step 4: Simplify right side
    7,135.87x = 38,886,703.73
  5. Step 5: Solve for x
    x = 38,886,703.73/7,135.87
  6. Step 6: Final answer
    x = 5,449.47

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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.