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Finding the Fourth Proportional to 27,428.72, 41,145 and 13,574

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Solution

The fourth proportional to 27,428.72, 41,145 and 13,574 is: 20,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.72 : 41,145 = 13,574 : x
  2. Step 2: Convert to fraction form
    27,428.72/41,145 = 13,574/x
  3. Step 3: Cross multiply
    27,428.72x = 41,145 × 13,574
  4. Step 4: Simplify right side
    27,428.72x = 558,502,230
  5. Step 5: Solve for x
    x = 558,502,230/27,428.72
  6. Step 6: Final answer
    x = 20,361.95

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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.