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Finding the Fourth Proportional to 27,920, 38,529.60 and 15,344.75

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Solution

The fourth proportional to 27,920, 38,529.60 and 15,344.75 is: 21,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 38,529.60 = 15,344.75 : x
  2. Step 2: Convert to fraction form
    27,920/38,529.60 = 15,344.75/x
  3. Step 3: Cross multiply
    27,920x = 38,529.60 × 15,344.75
  4. Step 4: Simplify right side
    27,920x = 591,227,079.60
  5. Step 5: Solve for x
    x = 591,227,079.60/27,920
  6. Step 6: Final answer
    x = 21,175.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.