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Finding the Fourth Proportional to 13,868.90, 20,791.64 and 6,469.46

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Solution

The fourth proportional to 13,868.90, 20,791.64 and 6,469.46 is: 9,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.90 : 20,791.64 = 6,469.46 : x
  2. Step 2: Convert to fraction form
    13,868.90/20,791.64 = 6,469.46/x
  3. Step 3: Cross multiply
    13,868.90x = 20,791.64 × 6,469.46
  4. Step 4: Simplify right side
    13,868.90x = 134,510,683.31
  5. Step 5: Solve for x
    x = 134,510,683.31/13,868.90
  6. Step 6: Final answer
    x = 9,698.73

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1.5x scale

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.