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Finding the Fourth Proportional to 8,065.80, 12,082.94 and 5,284.02

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Solution

The fourth proportional to 8,065.80, 12,082.94 and 5,284.02 is: 7,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.80 : 12,082.94 = 5,284.02 : x
  2. Step 2: Convert to fraction form
    8,065.80/12,082.94 = 5,284.02/x
  3. Step 3: Cross multiply
    8,065.80x = 12,082.94 × 5,284.02
  4. Step 4: Simplify right side
    8,065.80x = 63,846,496.62
  5. Step 5: Solve for x
    x = 63,846,496.62/8,065.80
  6. Step 6: Final answer
    x = 7,915.71

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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.