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Finding the Fourth Proportional to 13,729, 18,931 and 8,940.12

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Solution

The fourth proportional to 13,729, 18,931 and 8,940.12 is: 12,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729 : 18,931 = 8,940.12 : x
  2. Step 2: Convert to fraction form
    13,729/18,931 = 8,940.12/x
  3. Step 3: Cross multiply
    13,729x = 18,931 × 8,940.12
  4. Step 4: Simplify right side
    13,729x = 169,245,411.72
  5. Step 5: Solve for x
    x = 169,245,411.72/13,729
  6. Step 6: Final answer
    x = 12,327.58

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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.