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Finding the Fourth Proportional to 6,457.94, 9,662.48 and 3,826.86

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Solution

The fourth proportional to 6,457.94, 9,662.48 and 3,826.86 is: 5,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.94 : 9,662.48 = 3,826.86 : x
  2. Step 2: Convert to fraction form
    6,457.94/9,662.48 = 3,826.86/x
  3. Step 3: Cross multiply
    6,457.94x = 9,662.48 × 3,826.86
  4. Step 4: Simplify right side
    6,457.94x = 36,976,958.21
  5. Step 5: Solve for x
    x = 36,976,958.21/6,457.94
  6. Step 6: Final answer
    x = 5,725.81

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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.