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Finding the Fourth Proportional to 13,791.21, 20,689.92 and 5,026.16

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Solution

The fourth proportional to 13,791.21, 20,689.92 and 5,026.16 is: 7,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.21 : 20,689.92 = 5,026.16 : x
  2. Step 2: Convert to fraction form
    13,791.21/20,689.92 = 5,026.16/x
  3. Step 3: Cross multiply
    13,791.21x = 20,689.92 × 5,026.16
  4. Step 4: Simplify right side
    13,791.21x = 103,990,744.86
  5. Step 5: Solve for x
    x = 103,990,744.86/13,791.21
  6. Step 6: Final answer
    x = 7,540.36

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Why These Related Problems?

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