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Finding the Fourth Proportional to 27,000.69, 40,519.12 and 11,205.74

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Solution

The fourth proportional to 27,000.69, 40,519.12 and 11,205.74 is: 16,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.69 : 40,519.12 = 11,205.74 : x
  2. Step 2: Convert to fraction form
    27,000.69/40,519.12 = 11,205.74/x
  3. Step 3: Cross multiply
    27,000.69x = 40,519.12 × 11,205.74
  4. Step 4: Simplify right side
    27,000.69x = 454,046,723.75
  5. Step 5: Solve for x
    x = 454,046,723.75/27,000.69
  6. Step 6: Final answer
    x = 16,816.12

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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.