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Finding the Fourth Proportional to 7,221.97, 10,829.71 and 3,324.25

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Solution

The fourth proportional to 7,221.97, 10,829.71 and 3,324.25 is: 4,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.97 : 10,829.71 = 3,324.25 : x
  2. Step 2: Convert to fraction form
    7,221.97/10,829.71 = 3,324.25/x
  3. Step 3: Cross multiply
    7,221.97x = 10,829.71 × 3,324.25
  4. Step 4: Simplify right side
    7,221.97x = 36,000,663.47
  5. Step 5: Solve for x
    x = 36,000,663.47/7,221.97
  6. Step 6: Final answer
    x = 4,984.88

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1.5x scale

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.