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Finding the Fourth Proportional to 11,790.52, 17,687.76 and 3,894.88

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Solution

The fourth proportional to 11,790.52, 17,687.76 and 3,894.88 is: 5,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.52 : 17,687.76 = 3,894.88 : x
  2. Step 2: Convert to fraction form
    11,790.52/17,687.76 = 3,894.88/x
  3. Step 3: Cross multiply
    11,790.52x = 17,687.76 × 3,894.88
  4. Step 4: Simplify right side
    11,790.52x = 68,891,702.67
  5. Step 5: Solve for x
    x = 68,891,702.67/11,790.52
  6. Step 6: Final answer
    x = 5,842.97

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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.