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Finding the Fourth Proportional to 27,711.52, 41,561.34 and 7,986.40

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Solution

The fourth proportional to 27,711.52, 41,561.34 and 7,986.40 is: 11,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.52 : 41,561.34 = 7,986.40 : x
  2. Step 2: Convert to fraction form
    27,711.52/41,561.34 = 7,986.40/x
  3. Step 3: Cross multiply
    27,711.52x = 41,561.34 × 7,986.40
  4. Step 4: Simplify right side
    27,711.52x = 331,925,485.78
  5. Step 5: Solve for x
    x = 331,925,485.78/27,711.52
  6. Step 6: Final answer
    x = 11,977.89

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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.