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Finding the Fourth Proportional to 6,441.87, 9,659.81 and 3,774.26

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Solution

The fourth proportional to 6,441.87, 9,659.81 and 3,774.26 is: 5,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.87 : 9,659.81 = 3,774.26 : x
  2. Step 2: Convert to fraction form
    6,441.87/9,659.81 = 3,774.26/x
  3. Step 3: Cross multiply
    6,441.87x = 9,659.81 × 3,774.26
  4. Step 4: Simplify right side
    6,441.87x = 36,458,646.85
  5. Step 5: Solve for x
    x = 36,458,646.85/6,441.87
  6. Step 6: Final answer
    x = 5,659.64

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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.