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Finding the Fourth Proportional to 13,206.67, 18,227.21 and 8,428.67

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Solution

The fourth proportional to 13,206.67, 18,227.21 and 8,428.67 is: 11,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.67 : 18,227.21 = 8,428.67 : x
  2. Step 2: Convert to fraction form
    13,206.67/18,227.21 = 8,428.67/x
  3. Step 3: Cross multiply
    13,206.67x = 18,227.21 × 8,428.67
  4. Step 4: Simplify right side
    13,206.67x = 153,631,095.97
  5. Step 5: Solve for x
    x = 153,631,095.97/13,206.67
  6. Step 6: Final answer
    x = 11,632.85

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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.