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Finding the Fourth Proportional to 11,898.74, 17,806.79 and 7,393.94

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Solution

The fourth proportional to 11,898.74, 17,806.79 and 7,393.94 is: 11,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.74 : 17,806.79 = 7,393.94 : x
  2. Step 2: Convert to fraction form
    11,898.74/17,806.79 = 7,393.94/x
  3. Step 3: Cross multiply
    11,898.74x = 17,806.79 × 7,393.94
  4. Step 4: Simplify right side
    11,898.74x = 131,662,336.85
  5. Step 5: Solve for x
    x = 131,662,336.85/11,898.74
  6. Step 6: Final answer
    x = 11,065.23

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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.