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Finding the Fourth Proportional to 27,108, 37,409.07 and 15,174.18

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Solution

The fourth proportional to 27,108, 37,409.07 and 15,174.18 is: 20,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 37,409.07 = 15,174.18 : x
  2. Step 2: Convert to fraction form
    27,108/37,409.07 = 15,174.18/x
  3. Step 3: Cross multiply
    27,108x = 37,409.07 × 15,174.18
  4. Step 4: Simplify right side
    27,108x = 567,651,961.81
  5. Step 5: Solve for x
    x = 567,651,961.81/27,108
  6. Step 6: Final answer
    x = 20,940.39

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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.