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Finding the Fourth Proportional to 12,796.04, 17,661.44 and 8,311.98

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Solution

The fourth proportional to 12,796.04, 17,661.44 and 8,311.98 is: 11,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.04 : 17,661.44 = 8,311.98 : x
  2. Step 2: Convert to fraction form
    12,796.04/17,661.44 = 8,311.98/x
  3. Step 3: Cross multiply
    12,796.04x = 17,661.44 × 8,311.98
  4. Step 4: Simplify right side
    12,796.04x = 146,801,536.05
  5. Step 5: Solve for x
    x = 146,801,536.05/12,796.04
  6. Step 6: Final answer
    x = 11,472.42

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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.