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Finding the Fourth Proportional to 27,154.46, 40,721.67 and 9,380.57

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Solution

The fourth proportional to 27,154.46, 40,721.67 and 9,380.57 is: 14,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.46 : 40,721.67 = 9,380.57 : x
  2. Step 2: Convert to fraction form
    27,154.46/40,721.67 = 9,380.57/x
  3. Step 3: Cross multiply
    27,154.46x = 40,721.67 × 9,380.57
  4. Step 4: Simplify right side
    27,154.46x = 381,992,475.95
  5. Step 5: Solve for x
    x = 381,992,475.95/27,154.46
  6. Step 6: Final answer
    x = 14,067.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.