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Finding the Fourth Proportional to 13,222.65, 18,250.32 and 8,498.73

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Solution

The fourth proportional to 13,222.65, 18,250.32 and 8,498.73 is: 11,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.65 : 18,250.32 = 8,498.73 : x
  2. Step 2: Convert to fraction form
    13,222.65/18,250.32 = 8,498.73/x
  3. Step 3: Cross multiply
    13,222.65x = 18,250.32 × 8,498.73
  4. Step 4: Simplify right side
    13,222.65x = 155,104,542.09
  5. Step 5: Solve for x
    x = 155,104,542.09/13,222.65
  6. Step 6: Final answer
    x = 11,730.22

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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.