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Finding the Fourth Proportional to 18,540.97, 27,792.86 and 9,187.78

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Solution

The fourth proportional to 18,540.97, 27,792.86 and 9,187.78 is: 13,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.97 : 27,792.86 = 9,187.78 : x
  2. Step 2: Convert to fraction form
    18,540.97/27,792.86 = 9,187.78/x
  3. Step 3: Cross multiply
    18,540.97x = 27,792.86 × 9,187.78
  4. Step 4: Simplify right side
    18,540.97x = 255,354,637.31
  5. Step 5: Solve for x
    x = 255,354,637.31/18,540.97
  6. Step 6: Final answer
    x = 13,772.46

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1.5x scale

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.