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Finding the Fourth Proportional to 27,422.72, 41,136 and 13,568

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Solution

The fourth proportional to 27,422.72, 41,136 and 13,568 is: 20,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.72 : 41,136 = 13,568 : x
  2. Step 2: Convert to fraction form
    27,422.72/41,136 = 13,568/x
  3. Step 3: Cross multiply
    27,422.72x = 41,136 × 13,568
  4. Step 4: Simplify right side
    27,422.72x = 558,133,248
  5. Step 5: Solve for x
    x = 558,133,248/27,422.72
  6. Step 6: Final answer
    x = 20,352.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.