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Finding the Fourth Proportional to 13,450, 18,561 and 7,861

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Solution

The fourth proportional to 13,450, 18,561 and 7,861 is: 10,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450 : 18,561 = 7,861 : x
  2. Step 2: Convert to fraction form
    13,450/18,561 = 7,861/x
  3. Step 3: Cross multiply
    13,450x = 18,561 × 7,861
  4. Step 4: Simplify right side
    13,450x = 145,908,021
  5. Step 5: Solve for x
    x = 145,908,021/13,450
  6. Step 6: Final answer
    x = 10,848.18

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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.