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Finding the Fourth Proportional to 13,408.65, 20,106.48 and 7,863.81

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Solution

The fourth proportional to 13,408.65, 20,106.48 and 7,863.81 is: 11,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.65 : 20,106.48 = 7,863.81 : x
  2. Step 2: Convert to fraction form
    13,408.65/20,106.48 = 7,863.81/x
  3. Step 3: Cross multiply
    13,408.65x = 20,106.48 × 7,863.81
  4. Step 4: Simplify right side
    13,408.65x = 158,113,538.49
  5. Step 5: Solve for x
    x = 158,113,538.49/13,408.65
  6. Step 6: Final answer
    x = 11,791.91

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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.