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Finding the Fourth Proportional to 27,391.50, 37,802 and 15,450.48

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Solution

The fourth proportional to 27,391.50, 37,802 and 15,450.48 is: 21,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,391.50 : 37,802 = 15,450.48 : x
  2. Step 2: Convert to fraction form
    27,391.50/37,802 = 15,450.48/x
  3. Step 3: Cross multiply
    27,391.50x = 37,802 × 15,450.48
  4. Step 4: Simplify right side
    27,391.50x = 584,059,044.96
  5. Step 5: Solve for x
    x = 584,059,044.96/27,391.50
  6. Step 6: Final answer
    x = 21,322.64

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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.