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Finding the Fourth Proportional to 7,694.80, 10,609.22 and 6,419.26

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Solution

The fourth proportional to 7,694.80, 10,609.22 and 6,419.26 is: 8,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.80 : 10,609.22 = 6,419.26 : x
  2. Step 2: Convert to fraction form
    7,694.80/10,609.22 = 6,419.26/x
  3. Step 3: Cross multiply
    7,694.80x = 10,609.22 × 6,419.26
  4. Step 4: Simplify right side
    7,694.80x = 68,103,341.58
  5. Step 5: Solve for x
    x = 68,103,341.58/7,694.80
  6. Step 6: Final answer
    x = 8,850.57

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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.