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Finding the Fourth Proportional to 13,172.56, 18,169.79 and 9,192.22

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Solution

The fourth proportional to 13,172.56, 18,169.79 and 9,192.22 is: 12,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.56 : 18,169.79 = 9,192.22 : x
  2. Step 2: Convert to fraction form
    13,172.56/18,169.79 = 9,192.22/x
  3. Step 3: Cross multiply
    13,172.56x = 18,169.79 × 9,192.22
  4. Step 4: Simplify right side
    13,172.56x = 167,020,615.65
  5. Step 5: Solve for x
    x = 167,020,615.65/13,172.56
  6. Step 6: Final answer
    x = 12,679.44

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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.