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Finding the Fourth Proportional to 27,900.48, 41,861.09 and 12,914.87

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Solution

The fourth proportional to 27,900.48, 41,861.09 and 12,914.87 is: 19,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.48 : 41,861.09 = 12,914.87 : x
  2. Step 2: Convert to fraction form
    27,900.48/41,861.09 = 12,914.87/x
  3. Step 3: Cross multiply
    27,900.48x = 41,861.09 × 12,914.87
  4. Step 4: Simplify right side
    27,900.48x = 540,630,535.41
  5. Step 5: Solve for x
    x = 540,630,535.41/27,900.48
  6. Step 6: Final answer
    x = 19,377.11

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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.