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Finding the Fourth Proportional to 7,249.75, 9,929.69 and 6,824.20

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Solution

The fourth proportional to 7,249.75, 9,929.69 and 6,824.20 is: 9,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.75 : 9,929.69 = 6,824.20 : x
  2. Step 2: Convert to fraction form
    7,249.75/9,929.69 = 6,824.20/x
  3. Step 3: Cross multiply
    7,249.75x = 9,929.69 × 6,824.20
  4. Step 4: Simplify right side
    7,249.75x = 67,762,190.50
  5. Step 5: Solve for x
    x = 67,762,190.50/7,249.75
  6. Step 6: Final answer
    x = 9,346.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.