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Finding the Fourth Proportional to 13,166.78, 19,755.09 and 6,837.71

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Solution

The fourth proportional to 13,166.78, 19,755.09 and 6,837.71 is: 10,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.78 : 19,755.09 = 6,837.71 : x
  2. Step 2: Convert to fraction form
    13,166.78/19,755.09 = 6,837.71/x
  3. Step 3: Cross multiply
    13,166.78x = 19,755.09 × 6,837.71
  4. Step 4: Simplify right side
    13,166.78x = 135,079,477.67
  5. Step 5: Solve for x
    x = 135,079,477.67/13,166.78
  6. Step 6: Final answer
    x = 10,259.12

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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.