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Finding the Fourth Proportional to 13,462.33, 20,194.17 and 5,143.07

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Solution

The fourth proportional to 13,462.33, 20,194.17 and 5,143.07 is: 7,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.33 : 20,194.17 = 5,143.07 : x
  2. Step 2: Convert to fraction form
    13,462.33/20,194.17 = 5,143.07/x
  3. Step 3: Cross multiply
    13,462.33x = 20,194.17 × 5,143.07
  4. Step 4: Simplify right side
    13,462.33x = 103,859,928.93
  5. Step 5: Solve for x
    x = 103,859,928.93/13,462.33
  6. Step 6: Final answer
    x = 7,714.86

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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.