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Finding the Fourth Proportional to 7,951.78, 11,927.88 and 2,108.38

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Solution

The fourth proportional to 7,951.78, 11,927.88 and 2,108.38 is: 3,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.78 : 11,927.88 = 2,108.38 : x
  2. Step 2: Convert to fraction form
    7,951.78/11,927.88 = 2,108.38/x
  3. Step 3: Cross multiply
    7,951.78x = 11,927.88 × 2,108.38
  4. Step 4: Simplify right side
    7,951.78x = 25,148,444.00
  5. Step 5: Solve for x
    x = 25,148,444.00/7,951.78
  6. Step 6: Final answer
    x = 3,162.62

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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.