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Finding the Fourth Proportional to 13,832.97, 20,745.60 and 6,429.97

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Solution

The fourth proportional to 13,832.97, 20,745.60 and 6,429.97 is: 9,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.97 : 20,745.60 = 6,429.97 : x
  2. Step 2: Convert to fraction form
    13,832.97/20,745.60 = 6,429.97/x
  3. Step 3: Cross multiply
    13,832.97x = 20,745.60 × 6,429.97
  4. Step 4: Simplify right side
    13,832.97x = 133,393,585.63
  5. Step 5: Solve for x
    x = 133,393,585.63/13,832.97
  6. Step 6: Final answer
    x = 9,643.16

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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.