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Finding the Fourth Proportional to 11,806.40, 17,738.40 and 8,890.40

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Solution

The fourth proportional to 11,806.40, 17,738.40 and 8,890.40 is: 13,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.40 : 17,738.40 = 8,890.40 : x
  2. Step 2: Convert to fraction form
    11,806.40/17,738.40 = 8,890.40/x
  3. Step 3: Cross multiply
    11,806.40x = 17,738.40 × 8,890.40
  4. Step 4: Simplify right side
    11,806.40x = 157,701,471.36
  5. Step 5: Solve for x
    x = 157,701,471.36/11,806.40
  6. Step 6: Final answer
    x = 13,357.29

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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.