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Finding the Fourth Proportional to 8,103.80, 12,155.97 and 2,259.92

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Solution

The fourth proportional to 8,103.80, 12,155.97 and 2,259.92 is: 3,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.80 : 12,155.97 = 2,259.92 : x
  2. Step 2: Convert to fraction form
    8,103.80/12,155.97 = 2,259.92/x
  3. Step 3: Cross multiply
    8,103.80x = 12,155.97 × 2,259.92
  4. Step 4: Simplify right side
    8,103.80x = 27,471,519.72
  5. Step 5: Solve for x
    x = 27,471,519.72/8,103.80
  6. Step 6: Final answer
    x = 3,389.96

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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.