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Finding the Fourth Proportional to 11,694.51, 17,531.82 and 5,115.78

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Solution

The fourth proportional to 11,694.51, 17,531.82 and 5,115.78 is: 7,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.51 : 17,531.82 = 5,115.78 : x
  2. Step 2: Convert to fraction form
    11,694.51/17,531.82 = 5,115.78/x
  3. Step 3: Cross multiply
    11,694.51x = 17,531.82 × 5,115.78
  4. Step 4: Simplify right side
    11,694.51x = 89,688,934.12
  5. Step 5: Solve for x
    x = 89,688,934.12/11,694.51
  6. Step 6: Final answer
    x = 7,669.32

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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.