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Finding the Fourth Proportional to 27,186.44, 40,788.90 and 8,470.71

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Solution

The fourth proportional to 27,186.44, 40,788.90 and 8,470.71 is: 12,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.44 : 40,788.90 = 8,470.71 : x
  2. Step 2: Convert to fraction form
    27,186.44/40,788.90 = 8,470.71/x
  3. Step 3: Cross multiply
    27,186.44x = 40,788.90 × 8,470.71
  4. Step 4: Simplify right side
    27,186.44x = 345,510,943.12
  5. Step 5: Solve for x
    x = 345,510,943.12/27,186.44
  6. Step 6: Final answer
    x = 12,708.95

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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.