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Finding the Fourth Proportional to 11,155.22, 16,719.84 and 8,206.22

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Solution

The fourth proportional to 11,155.22, 16,719.84 and 8,206.22 is: 12,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.22 : 16,719.84 = 8,206.22 : x
  2. Step 2: Convert to fraction form
    11,155.22/16,719.84 = 8,206.22/x
  3. Step 3: Cross multiply
    11,155.22x = 16,719.84 × 8,206.22
  4. Step 4: Simplify right side
    11,155.22x = 137,206,685.40
  5. Step 5: Solve for x
    x = 137,206,685.40/11,155.22
  6. Step 6: Final answer
    x = 12,299.77

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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.