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Finding the Fourth Proportional to 17,381.97, 23,983.07 and 11,727.20

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Solution

The fourth proportional to 17,381.97, 23,983.07 and 11,727.20 is: 16,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.97 : 23,983.07 = 11,727.20 : x
  2. Step 2: Convert to fraction form
    17,381.97/23,983.07 = 11,727.20/x
  3. Step 3: Cross multiply
    17,381.97x = 23,983.07 × 11,727.20
  4. Step 4: Simplify right side
    17,381.97x = 281,254,079.95
  5. Step 5: Solve for x
    x = 281,254,079.95/17,381.97
  6. Step 6: Final answer
    x = 16,180.79

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1.5x scale

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.