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Finding the Fourth Proportional to 13,673.14, 20,512.14 and 10,426.66

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Solution

The fourth proportional to 13,673.14, 20,512.14 and 10,426.66 is: 15,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.14 : 20,512.14 = 10,426.66 : x
  2. Step 2: Convert to fraction form
    13,673.14/20,512.14 = 10,426.66/x
  3. Step 3: Cross multiply
    13,673.14x = 20,512.14 × 10,426.66
  4. Step 4: Simplify right side
    13,673.14x = 213,873,109.65
  5. Step 5: Solve for x
    x = 213,873,109.65/13,673.14
  6. Step 6: Final answer
    x = 15,641.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.