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Finding the Fourth Proportional to 11,876.22, 17,806.05 and 5,209.47

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Solution

The fourth proportional to 11,876.22, 17,806.05 and 5,209.47 is: 7,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.22 : 17,806.05 = 5,209.47 : x
  2. Step 2: Convert to fraction form
    11,876.22/17,806.05 = 5,209.47/x
  3. Step 3: Cross multiply
    11,876.22x = 17,806.05 × 5,209.47
  4. Step 4: Simplify right side
    11,876.22x = 92,760,083.29
  5. Step 5: Solve for x
    x = 92,760,083.29/11,876.22
  6. Step 6: Final answer
    x = 7,810.57

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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.