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Finding the Fourth Proportional to 7,220.39, 9,962.83 and 4,195.64

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Solution

The fourth proportional to 7,220.39, 9,962.83 and 4,195.64 is: 5,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.39 : 9,962.83 = 4,195.64 : x
  2. Step 2: Convert to fraction form
    7,220.39/9,962.83 = 4,195.64/x
  3. Step 3: Cross multiply
    7,220.39x = 9,962.83 × 4,195.64
  4. Step 4: Simplify right side
    7,220.39x = 41,800,478.21
  5. Step 5: Solve for x
    x = 41,800,478.21/7,220.39
  6. Step 6: Final answer
    x = 5,789.23

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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.