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Finding the Fourth Proportional to 12,593.22, 17,380 and 7,879.02

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Solution

The fourth proportional to 12,593.22, 17,380 and 7,879.02 is: 10,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.22 : 17,380 = 7,879.02 : x
  2. Step 2: Convert to fraction form
    12,593.22/17,380 = 7,879.02/x
  3. Step 3: Cross multiply
    12,593.22x = 17,380 × 7,879.02
  4. Step 4: Simplify right side
    12,593.22x = 136,937,367.60
  5. Step 5: Solve for x
    x = 136,937,367.60/12,593.22
  6. Step 6: Final answer
    x = 10,873.90

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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.