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Finding the Fourth Proportional to 7,891.59, 11,838.60 and 2,696.25

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Solution

The fourth proportional to 7,891.59, 11,838.60 and 2,696.25 is: 4,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.59 : 11,838.60 = 2,696.25 : x
  2. Step 2: Convert to fraction form
    7,891.59/11,838.60 = 2,696.25/x
  3. Step 3: Cross multiply
    7,891.59x = 11,838.60 × 2,696.25
  4. Step 4: Simplify right side
    7,891.59x = 31,919,825.25
  5. Step 5: Solve for x
    x = 31,919,825.25/7,891.59
  6. Step 6: Final answer
    x = 4,044.79

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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.