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Finding the Fourth Proportional to 12,450, 17,181 and 7,482

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Solution

The fourth proportional to 12,450, 17,181 and 7,482 is: 10,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450 : 17,181 = 7,482 : x
  2. Step 2: Convert to fraction form
    12,450/17,181 = 7,482/x
  3. Step 3: Cross multiply
    12,450x = 17,181 × 7,482
  4. Step 4: Simplify right side
    12,450x = 128,548,242
  5. Step 5: Solve for x
    x = 128,548,242/12,450
  6. Step 6: Final answer
    x = 10,325.16

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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.