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Finding the Fourth Proportional to 27,709.80, 41,551.08 and 15,861.78

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Solution

The fourth proportional to 27,709.80, 41,551.08 and 15,861.78 is: 23,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.80 : 41,551.08 = 15,861.78 : x
  2. Step 2: Convert to fraction form
    27,709.80/41,551.08 = 15,861.78/x
  3. Step 3: Cross multiply
    27,709.80x = 41,551.08 × 15,861.78
  4. Step 4: Simplify right side
    27,709.80x = 659,074,089.72
  5. Step 5: Solve for x
    x = 659,074,089.72/27,709.80
  6. Step 6: Final answer
    x = 23,784.87

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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.