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Finding the Fourth Proportional to 12,822.44, 17,697.80 and 8,105.80

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Solution

The fourth proportional to 12,822.44, 17,697.80 and 8,105.80 is: 11,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.44 : 17,697.80 = 8,105.80 : x
  2. Step 2: Convert to fraction form
    12,822.44/17,697.80 = 8,105.80/x
  3. Step 3: Cross multiply
    12,822.44x = 17,697.80 × 8,105.80
  4. Step 4: Simplify right side
    12,822.44x = 143,454,827.24
  5. Step 5: Solve for x
    x = 143,454,827.24/12,822.44
  6. Step 6: Final answer
    x = 11,187.79

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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.