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Finding the Fourth Proportional to 7,894.49, 11,833.81 and 2,696.81

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Solution

The fourth proportional to 7,894.49, 11,833.81 and 2,696.81 is: 4,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.49 : 11,833.81 = 2,696.81 : x
  2. Step 2: Convert to fraction form
    7,894.49/11,833.81 = 2,696.81/x
  3. Step 3: Cross multiply
    7,894.49x = 11,833.81 × 2,696.81
  4. Step 4: Simplify right side
    7,894.49x = 31,913,471.24
  5. Step 5: Solve for x
    x = 31,913,471.24/7,894.49
  6. Step 6: Final answer
    x = 4,042.50

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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.