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Finding the Fourth Proportional to 27,792, 38,352.73 and 15,044.92

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Solution

The fourth proportional to 27,792, 38,352.73 and 15,044.92 is: 20,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 38,352.73 = 15,044.92 : x
  2. Step 2: Convert to fraction form
    27,792/38,352.73 = 15,044.92/x
  3. Step 3: Cross multiply
    27,792x = 38,352.73 × 15,044.92
  4. Step 4: Simplify right side
    27,792x = 577,013,754.63
  5. Step 5: Solve for x
    x = 577,013,754.63/27,792
  6. Step 6: Final answer
    x = 20,761.87

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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.