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Finding the Fourth Proportional to 8,200, 12,355.87 and 7,304.88

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Solution

The fourth proportional to 8,200, 12,355.87 and 7,304.88 is: 11,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 12,355.87 = 7,304.88 : x
  2. Step 2: Convert to fraction form
    8,200/12,355.87 = 7,304.88/x
  3. Step 3: Cross multiply
    8,200x = 12,355.87 × 7,304.88
  4. Step 4: Simplify right side
    8,200x = 90,258,147.65
  5. Step 5: Solve for x
    x = 90,258,147.65/8,200
  6. Step 6: Final answer
    x = 11,007.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.