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Finding the Fourth Proportional to 8,156.99, 12,198.13 and 6,078.44

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Solution

The fourth proportional to 8,156.99, 12,198.13 and 6,078.44 is: 9,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.99 : 12,198.13 = 6,078.44 : x
  2. Step 2: Convert to fraction form
    8,156.99/12,198.13 = 6,078.44/x
  3. Step 3: Cross multiply
    8,156.99x = 12,198.13 × 6,078.44
  4. Step 4: Simplify right side
    8,156.99x = 74,145,616.62
  5. Step 5: Solve for x
    x = 74,145,616.62/8,156.99
  6. Step 6: Final answer
    x = 9,089.82

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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.