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Finding the Fourth Proportional to 12,589.96, 17,372.64 and 7,286.44

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Solution

The fourth proportional to 12,589.96, 17,372.64 and 7,286.44 is: 10,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.96 : 17,372.64 = 7,286.44 : x
  2. Step 2: Convert to fraction form
    12,589.96/17,372.64 = 7,286.44/x
  3. Step 3: Cross multiply
    12,589.96x = 17,372.64 × 7,286.44
  4. Step 4: Simplify right side
    12,589.96x = 126,584,699.00
  5. Step 5: Solve for x
    x = 126,584,699.00/12,589.96
  6. Step 6: Final answer
    x = 10,054.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.