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Finding the Fourth Proportional to 13,847.54, 20,774.82 and 3,986.82

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Solution

The fourth proportional to 13,847.54, 20,774.82 and 3,986.82 is: 5,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.54 : 20,774.82 = 3,986.82 : x
  2. Step 2: Convert to fraction form
    13,847.54/20,774.82 = 3,986.82/x
  3. Step 3: Cross multiply
    13,847.54x = 20,774.82 × 3,986.82
  4. Step 4: Simplify right side
    13,847.54x = 82,825,467.87
  5. Step 5: Solve for x
    x = 82,825,467.87/13,847.54
  6. Step 6: Final answer
    x = 5,981.24

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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.