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Finding the Fourth Proportional to 13,702, 18,908.72 and 7,414.36

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Solution

The fourth proportional to 13,702, 18,908.72 and 7,414.36 is: 10,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702 : 18,908.72 = 7,414.36 : x
  2. Step 2: Convert to fraction form
    13,702/18,908.72 = 7,414.36/x
  3. Step 3: Cross multiply
    13,702x = 18,908.72 × 7,414.36
  4. Step 4: Simplify right side
    13,702x = 140,196,057.22
  5. Step 5: Solve for x
    x = 140,196,057.22/13,702
  6. Step 6: Final answer
    x = 10,231.80

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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.