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Finding the Fourth Proportional to 12,589, 17,372.82 and 6,999.88

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Solution

The fourth proportional to 12,589, 17,372.82 and 6,999.88 is: 9,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589 : 17,372.82 = 6,999.88 : x
  2. Step 2: Convert to fraction form
    12,589/17,372.82 = 6,999.88/x
  3. Step 3: Cross multiply
    12,589x = 17,372.82 × 6,999.88
  4. Step 4: Simplify right side
    12,589x = 121,607,655.26
  5. Step 5: Solve for x
    x = 121,607,655.26/12,589
  6. Step 6: Final answer
    x = 9,659.83

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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.