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Finding the Fourth Proportional to 11,685.86, 17,531.43 and 3,894.98

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Solution

The fourth proportional to 11,685.86, 17,531.43 and 3,894.98 is: 5,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.86 : 17,531.43 = 3,894.98 : x
  2. Step 2: Convert to fraction form
    11,685.86/17,531.43 = 3,894.98/x
  3. Step 3: Cross multiply
    11,685.86x = 17,531.43 × 3,894.98
  4. Step 4: Simplify right side
    11,685.86x = 68,284,569.22
  5. Step 5: Solve for x
    x = 68,284,569.22/11,685.86
  6. Step 6: Final answer
    x = 5,843.35

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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.