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Finding the Fourth Proportional to 12,409.56, 17,118 and 8,161.38

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Solution

The fourth proportional to 12,409.56, 17,118 and 8,161.38 is: 11,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.56 : 17,118 = 8,161.38 : x
  2. Step 2: Convert to fraction form
    12,409.56/17,118 = 8,161.38/x
  3. Step 3: Cross multiply
    12,409.56x = 17,118 × 8,161.38
  4. Step 4: Simplify right side
    12,409.56x = 139,706,502.84
  5. Step 5: Solve for x
    x = 139,706,502.84/12,409.56
  6. Step 6: Final answer
    x = 11,257.97

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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.