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Finding the Fourth Proportional to 13,713.26, 18,924.64 and 8,411

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Solution

The fourth proportional to 13,713.26, 18,924.64 and 8,411 is: 11,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.26 : 18,924.64 = 8,411 : x
  2. Step 2: Convert to fraction form
    13,713.26/18,924.64 = 8,411/x
  3. Step 3: Cross multiply
    13,713.26x = 18,924.64 × 8,411
  4. Step 4: Simplify right side
    13,713.26x = 159,175,147.04
  5. Step 5: Solve for x
    x = 159,175,147.04/13,713.26
  6. Step 6: Final answer
    x = 11,607.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.