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Finding the Fourth Proportional to 8,923.80, 12,286.82 and 7,576.64

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Solution

The fourth proportional to 8,923.80, 12,286.82 and 7,576.64 is: 10,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.80 : 12,286.82 = 7,576.64 : x
  2. Step 2: Convert to fraction form
    8,923.80/12,286.82 = 7,576.64/x
  3. Step 3: Cross multiply
    8,923.80x = 12,286.82 × 7,576.64
  4. Step 4: Simplify right side
    8,923.80x = 93,092,815.47
  5. Step 5: Solve for x
    x = 93,092,815.47/8,923.80
  6. Step 6: Final answer
    x = 10,431.97

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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.